help-23

[winter mirage]

yeah

[worthy hemlock]

Okay, and?

That's not really our fault that you waited last minute

[safe radish]

@gaunt osprey Has your question been resolved?

[worthy hemlock]

.close

[safe radish]

Channel closed

Closed by @worthy hemlock

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[devout glade]

So I'm encountering a ton of issues trying to get euler angles into a format that is easy to implement in control theory. Right now I only have the euler angles that a 6-DOF quaternion block outputs. These angles being interdependent are making it really difficult to figure out what the output format is, and convert it to something like angle axis representation.
Basically I am getting very lost trying to convert my euler angles the block gives me into something a little easier to use like angle axis representation (example image of them).

[safe radish]

@devout glade Has your question been resolved?

[safe radish]

@devout glade Has your question been resolved?

[safe radish]

@devout glade Has your question been resolved?

[slate hedge]

.close

[safe radish]

Channel closed

Closed by @slate hedge

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[hasty lagoon]

hi i’m having trouble figuring out the differences between B and C

[lean ruin]

read the question again. "neither is a blue" and "not a blue pair" are different things right?

[hasty lagoon]

yes

i believe the answer i have for C is the one i have right

<@&286206848099549185>

[safe radish]

@hasty lagoon Has your question been resolved?

[hasty lagoon]

.close

[safe radish]

Channel closed

Closed by @hasty lagoon

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[south linden]

how do i do this

[south linden]

i have gotten to the precalculation that delta is equal to epsilon/9

but idk what to do from here

oh all it is asking for is that precalculation

lol

.close

[safe radish]

Channel closed

Closed by @south linden

Use .reopen if this was a mistake.

[foggy salmon]

lol

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

Channel closed

Closed due to the original message being deleted

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lime light]

what’s good

[lime light]

i need help with this

The parabolas have to hit the labeled dots on the graph

and i have 4 equations

[safe radish]

@lime light Has your question been resolved?

[lime light]

no lol

[safe radish]

@lime light Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[south linden]

how would i go about answering the first and last question?

[safe radish]

@south linden Has your question been resolved?

[south linden]

.close

[safe radish]

Channel closed

Closed by @south linden

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[vast hazel]

does this make sense or is it even correct 💀

[vast hazel]

.close

[safe radish]

Channel closed

Closed by @vast hazel

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[whole gale]

Can someone help me with 27-32

[whole gale]

Can you walk me through it

[worthy hemlock]

,rotate

[whole gale]

can sum 1 help

[tawny seal]

what have you tried so far

[whole gale]

I put it in its form idk what to do now

[tawny seal]

show your work

[whole gale]

x-2/x^2-9 times x-3/2-x

I have this so far

[tawny seal]

$\left(\frac{x-2}{x^2 - 9}\right)\left(\frac{x-3}{2-x}\right)$

[flat frigate]

texaspb

[whole gale]

yea

[tawny seal]

ok... do you think u can simplify that any further?

[whole gale]

no

[tawny seal]

why not?

[whole gale]

idk how

[worthy hemlock]

I suggest factoring the first denominator

[tawny seal]

hint: use the difference of squares formula

[whole gale]

what is that

[tawny seal]

$a^{2} - b^{2} = (a + b)(a - b)$

[flat frigate]

texaspb

[whole gale]

uh

how do I use that

[tawny seal]

take a look at both fractions really closely

and you'll notice it

[whole gale]

I dont see nothing

like that

[worthy hemlock]

https://www.youtube.com/watch?v=HLNSouzygw0&ab_channel=KhanAcademy

I suggest watching this

[whole gale]

ok im watching

[tawny seal]

do you notice a simplification that could help you in this formula here

[whole gale]

(x+3)(x-3)?

[tawny seal]

yes

so now you can just substitute, ending up with

$\left(\frac{x-2}{(x +3)(x - 3)}\right)\left(\frac{x-3}{2-x}\right)$

[flat frigate]

texaspb

[tawny seal]

what else can you do here

[whole gale]

x-2 and 2-x

[tawny seal]

well firstly you could simplify the two (x - 3)s terms right

[whole gale]

yea

[tawny seal]

so we're just left with $\frac{x-2}{(x + 3)(2-x)}$

[flat frigate]

texaspb

[tawny seal]

then what?

you can't just simplify the x-2 with the 2 - x

they're not equal

[whole gale]

idk

[tawny seal]

do you have a guess or something

anything that comes in mind

[whole gale]

switch 2-x to x-2

[tawny seal]

how so?

[whole gale]

idk

[tawny seal]

you can factor out a minus sign

[whole gale]

how does that work

[tawny seal]

like this $\frac{(-1)(2 - x)}{(x + 3)(2-x)}$

[flat frigate]

texaspb

[tawny seal]

distribute the (-1) over the term (2 -x) and you'll get the same thing we had the last step

now you can simplify the (2 - x)s

[whole gale]

ok

-1/x-3?

[tawny seal]

we're left with $-\frac{1}{(x + 3)}$

[flat frigate]

texaspb

[whole gale]

ok

[tawny seal]

what's the domain of this new function

[whole gale]

-3

[tawny seal]

can you tell?

no

[whole gale]

I mean 3

[tawny seal]

why 3?

[whole gale]

uh cause -3+3 is 0

[tawny seal]

that doesn't make any sense

[whole gale]

for the denominator

[tawny seal]

having 0 in the denominator is a discontinuity

-3 shouldn't be in the domain

[whole gale]

yea 3 is

not -3

[tawny seal]

so our domain is $\bR \setminus {-3}$

[flat frigate]

texaspb

[tawny seal]

do you see the reason why

[whole gale]

isnt the domain from the original function

[whole gale]

this

[tawny seal]

what?

ok

notice that

[whole gale]

I already got the domain for that

not at the end

[tawny seal]

no but you have to simplify the expression first

it's what we've been doing this whole time

[whole gale]

in my book it gives me the domain for this

[tawny seal]

$(s \cdot t)(x) = \left(\frac{x-2}{x^2 - 9}\right)\left(\frac{x-3}{2-x}\right) = \left(\frac{x-2}{(x +3)(x - 3)}\right)\left(\frac{x-3}{2-x}\right) = \frac{(-1)(2 - x)}{(x + 3)(2-x)} = -\frac{1}{(x + 3)}$

[flat frigate]

texaspb

[tawny seal]

can you send me a picture of that

[tawny seal]

well

both answers are fine

[whole gale]

ok can we do the next one

[tawny seal]

they're not wrong

I won't have time

I was hoping you get the idea

[whole gale]

ok ill try the next one

[tawny seal]

alright

but did you get the idea?

[whole gale]

kinda

I just have issues with simplyfying'

[tawny seal]

yeah

it can get tricky

gl tho

[whole gale]

ok ty

[safe radish]

@whole gale Has your question been resolved?

Channel closed

Closed by @whole gale

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[full fox]

(23^19 + 19^19) & (23^23+19^23) what are the common factors ?

[full fox]

How to approach this

[safe radish]

@full fox Has your question been resolved?

[full fox]

<@&286206848099549185>

Ok so I found something,
If n is odd then hcf of (x^n + a^n ) will be (x+a) ?

[visual patio]

$(23^{19}+19^{19})\ &\ (23^{23}+19^{23})$

[flat frigate]

ItzAine

[visual patio]

Im not sure about this one, it doesnt seem factorable to me.

[full fox]

What I meant is if we have
(x^n + a^n) & (x^m+a^m)
Both m,n being odd, then (x+a) will be hcf ....I read it somewhere but I'm not sure if it's true

[visual patio]

try plugging it into a calculator and see if the results are the same

[full fox]

Yeah let me try with smaller numbers

[full fox]

Yeah I tried a few numbers, it is working, the hcf is (x+a)

[visual patio]

nice

[full fox]

.close

[safe radish]

Channel closed

Closed by @full fox

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[dapper prairie]

Differentiate pi^pi

[dapper prairie]

This is 0 because pi^pi is a constant and differentiating a constant always results in 0

Just want to confirm if this is a case

if this is the case*

[obtuse plover]

yea thats right

unless ur using pi as a variable lol

but i doubt it

[idle parrot]

yeah that is weird

[dapper prairie]

Im differentiating with respect to x

[obtuse plover]

yea so ur right with it being 0

[dapper prairie]

okay one more question

pi^x = pi^x ln pi

[obtuse plover]

like d/dx pi^x?

[dapper prairie]

yes

[obtuse plover]

yes thats right

[idle parrot]

yes

[dapper prairie]

okay thank you

[obtuse plover]

np

[dapper prairie]

.close

[safe radish]

Channel closed

Closed by @dapper prairie

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[indigo monolith]

i have question √-18 * √-12 so result of each of them is
√-18 = 3i√2 - √-12 = 2i√3

so √-18 * √-12 = (3i√2)(2i√3)

ok but how can i solve this (3i√2)(2i√3) ???

[sudden birch]

Use the fact that i * i equals -1

[indigo monolith]

bro explain more

[sudden birch]

There are 2 i’s in your final expression. When u multiply them they will be -1. And then u can multiply the rest of the numbers as usual

So the i and i become -1, 3 and 2 become 6, and sqrt 2 and sqrt3 become sqrt 6

$\ -6\sqrt(6)$

[flat frigate]

Pauli Excluder

[sudden birch]

Hehe first time typing latex here

So so u understand now?

[indigo monolith]

ok there another thing

now if i did (3√2)(2√3) in calculator will be 6√6 why - 6√6?

[sudden birch]

Because there was also two i’s tucked away in your (3√2)(2√3) that together equal -1.

They multiply to be -1, you multiply that with (3√2)(2√3), you get -(3√2)(2√3), which is - 6sqrt(6)

[indigo monolith]

ok where i will put the -1?

ok do you mean -1(3√2)(2√3) ?

[sudden birch]

Yup!

[indigo monolith]

aha we get -1 outside and multiply all numbers by -1?

[sudden birch]

Exactumundo

Commutative property of multiplication baby

As long all the numbers are being multiplied together, it doesnt matter what order you multiply them

They can commute and move all around into any order you want

[indigo monolith]

$\ -1(3\sqrt(2))$

[sudden birch]

$\ -1(3\sqrt(2))$

[flat frigate]

Pauli Excluder

[sudden birch]

?

[indigo monolith]

$\ -1(3\sqrt(2)(2\sqrt(3)$

$\ -1\ (3\sqrt(2)(2\sqrt(3)$

[flat frigate]

Mohamed.
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[indigo monolith]

$\ -1\ (3\sqrt(2)((2\sqrt(3)$

[sudden birch]

You shouldn’t be putting backslash before the parenthesis

[indigo monolith]

ok

cool yeeeeeh

[sudden birch]

Yup i think they’re cool, if that’s what you mean

Anything else?

[indigo monolith]

no thx bro

.close

[safe radish]

Channel closed

Closed by @indigo monolith

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lean otter]

I am on my last attempt and need help, I don’t understand what is wrong about the answer here.

Before it gave me a new question, this is the answer to the similar one I got wrong.

I corrected that mistake in the newer question, just different numbers yet it states my inputted answer is incorrect

Old & New questions work

This is pre calc*

[lean otter]

This is the current question that I got wrong, trying to figure out what is wrong about it to fix and get correct

<@&286206848099549185>

[thin bridge]

-17 not 17

[lean otter]

F me 💀

Thank you I’m blind

.close

[safe radish]

Channel closed

Closed by @tiny anvil

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lean otter]

How is this solved at the end

Liking getting the x, y, and a part

[dusk vapor]

hi deep

[foggy salmon]

oh no my fairy again

[dusk vapor]

how do u get those

tho

[foggy salmon]

prob

so

6x=3y=2z

[dusk vapor]

oh

[foggy salmon]

then sub

with

[dusk vapor]

im so dumb, the question has equal sing

sign

[foggy salmon]

https://tenor.com/view/substituir-kakashi-hatake-naruto-clássico-gif-18550808

[dusk vapor]

goddess help room 2

[foggy salmon]

[dusk vapor]

he is dying

[foggy salmon]

no

i shant

i hate

chris

jk

[lean otter]

Chris is my(fairys) husband

Anyway

.close

[safe radish]

Channel closed

Closed by @ember ivy

Use .reopen if this was a mistake.

[foggy salmon]

WOW

HB ME

[idle parrot]

fairylog

[foggy salmon]

</3

💔

[idle parrot]

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[strong tiger]

what does lambda mean/whats does it represent

[strong tiger]

the symbol that looks like an upside down y

[idle parrot]

λ

like you said its just symbol

[strong tiger]

yes that one

[idle parrot]

you can use it for anything

[strong tiger]

ah

[idle parrot]

no context really

[strong tiger]

its just like using x then

[idle parrot]

yes

[strong tiger]

for example^

ahhh okay tysm i couldnt find it on google

[idle parrot]

[strong tiger]

.close

[safe radish]

Channel closed

Closed by @strong tiger

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[mossy gust]

Would I round up in this situation?

[mossy gust]

Question says: Reported to the correct number of significant figures, ((0.091 + 4.78)) * (14)

Ah

I see what the question is really about

4.871 is the addition

Since the least number of significant figures is on 4.78, we round it down to two decimal places, giving us 4.87

Multiply buy 14

68.18

Brain no work

68.2?

since three significant figures

that's wrong too

what

oh

oohhhh

***14 ***

TWO SIGNIFICANT NUMBERS

you hoe HIDING FROM ME

.close moment

[safe radish]

Channel closed

Closed by @mossy gust

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[mossy gust]

The question is: How many square meters, m^2, are in 465 square kilometers, km^2?

[idle sage]

1m^2 has 1x10^-6 km^2

I think

[mossy gust]

So, most people know 1km is 1000m, but hypothetically speaking, would it be possible to solve this not knowing that?

[grave flint]

no

[mossy gust]

So, essentially I should memorize all of the milli, micro, nano, etc exponents

[grave flint]

no

u should easily know the basic ones

[idle sage]

wha-

[toxic stratus]

that's memorisation lol

[grave flint]

if its some uncommon unit the conversion should be given

[toxic stratus]

you should know milli and kilo at least

[mossy gust]

kilo is 10^3 I believe

mega is 10^6 I got that from a previous problem

Not sure what 4 or 5 is

[toxic stratus]

4 or 5?

[mossy gust]

10^4 or 10^5

[toxic stratus]

the prefixes go in increments of 3

at least the si standard ones do

[idle sage]

ya

[mossy gust]

Huh, interesting. Why's that?

[idle sage]

idk a name for 10^4 HAHHA

I’m sure there’s one

[grave flint]

why do you think

[mossy gust]

That's the problem, I don't

[grave flint]

its called myria but completely obsolete

[toxic stratus]

having too many prefixes is redundant

[grave flint]

what do you want to represent every measurement or result as in the ones

with incrementing every three you can use, ones, tens, hundreds

suitable

[grave flint]

and over complicating it

it would just make things harder

[toxic stratus]

do you really want to change prefixes every power of 10?

[grave flint]

yes

[toxic stratus]

is that what you really want to do to yourself when you're writing down measurements

[grave flint]

no i want to change prefixes every power of 2

in a base 10 number system

[toxic stratus]

amazing

let's do it

[mossy gust]

:/

.close

[safe radish]

Channel closed

Closed by @mossy gust

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lean otter]

need help writing the equation of curve L vs θ and creating a vertical asymptote graph

[austere spade]

ig you could start with theta = |1/L|

then adjust to fit the data

unless u want something that goes through all points

[lean otter]

how do i do that

[sand minnow]

There are fitting tools which exist that will try to find a function which will attempt to go through all the points. Like syrenate said it seems to follow a 1/x curve with some modifications needed. I dont use desmos much but id assume they have some regression tool. I would recommend plugging in all the positive points and see what it comes up with. Dont plug in all the negative points tho

[lean otter]

i have plotted my points

[sand minnow]

Lemme get on my pc and ill see if i can find the regression stuff

[sand minnow]

if u have the data on a spreadsheet you can just copy paste it in to get a table like this. then you should write something along the line of
$$y_1~\frac{a}{x_1}+c$$ and see what it comes up with. the 2nd screenshot is an example of a regression

seems ~ does not like showing up in latex

[flat frigate]

Duh Hello

[sand minnow]

then write
y_1~a/x_1+c
below

so now that is a basic regression of the points that you have. u should see that the negative points are just the same as this one but negative. hence u have some okish approximations with the given function

[lean otter]

yes

so is that what its suppose to look like?

[sand minnow]

so the program decided that
$$y=\frac{655.233}{x}-5.65523$$is the best fitting curve. im sure there is something that will be more accurate but not sure exactly how accurate you need it

[flat frigate]

Duh Hello

[sand minnow]

ye thats what i would do, there is def some more sophisticated way to get this more accurate, not sure exactly how accurate u need to be tho

[lean otter]

is that the equation of curve?

[sand minnow]

yea

[lean otter]

what about the negative points

[sand minnow]

assuming symmetry about the x axis it will just be the same but negative

however feel free to try and do the same for the negative points and see how similar they are

but i see your points are the exact same so it will be the exact same

so $$y_2=-y=-\frac{655.233}{x}+5.65523$$

[flat frigate]

Duh Hello

[lean otter]

yep

[sand minnow]

but if i was doing this manually i would probably try to define $\frac{a}{x}=g(x)$ and then have $c=-g(90)$ as its important for u to have it be 0 as x goes to 90

[flat frigate]

Duh Hello

[lean otter]

oh

[sand minnow]

but i dont really see a clean way of doing that

after playing around with it a bit i found that $$y=\frac{265.685}{x^{0.56}}-\frac{265.685}{90^{0.56}}$$ fits it really nicely

[flat frigate]

Duh Hello

[sand minnow]

which i think should be accurate enough

[lean otter]

that's nice

yeah

[sand minnow]

negative points will just be the negative of this

and then you should have nice curves following the points

obviously feel free to fine tune it, i just did it by eye. https://www.desmos.com/calculator/824fhsbowp

just changing the r is what i did till it looked nice

[lean otter]

thanks

[sand minnow]

no problem

[lean otter]

.close

[safe radish]

Channel closed

Closed by @karmic trail

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[zinc token]

I'm a bit confused on how to construct a bijection between $[0, 1)$ and $(0, 1)$.

[flat frigate]

DerpZ

[zinc token]

I tried a piecewise function at first but that didn't work obviously

I've also tried $f(x) = \frac{2x-1}{(2x-1)^2-1}$

[flat frigate]

DerpZ

[zinc token]

I feel like I'm missing something here, am I supposed to do something with a set of open intervals?

[safe radish]

@zinc token Has your question been resolved?

[lean otter]

@zinc token you are trying to proof that f is bijetive from 0,1 to 0,1?

[zinc token]

No I'm trying to find a bijection

That's the f I tried, which doesn't work

[lean otter]

Proving that f is bijective doesn't means there is a bijection ?@zinc token

[zinc token]

The problem is I don't think this f is bijective

From $[0, 1)$

[flat frigate]

DerpZ

[lean otter]

It's not

[zinc token]

I'm saying that my choice of f is wrong yeah

[lean otter]

Cuz f (0) isn't 0

[zinc token]

I don't know what to choose for f

Yup I figured

Just posting what I tried

[zinc token]

^

[lean otter]

It's*

[zinc token]

Yeah

[lean otter]

how about you find a bijection between [0,1) and R and a bijection between (0,1) and R

[zinc token]

Oh yeah that could work

I already have a bijection from $(0, 1)$ to $\mathbb{R}$

[flat frigate]

DerpZ

[zinc token]

Yeah

[lean otter]

(2-1/x)/(1-x) this one?

or something with arctan?

[zinc token]

Let me check

[lean otter]

or tan

[zinc token]

Wait I have $f: (-1, 1) \to \mathbb{R}$

[flat frigate]

DerpZ

[lean otter]

but hmm finding one for [0,1) seems tricky

[zinc token]

But that works too

Because I have a bijection for $(a, b) \to \mathbb{R}$

[flat frigate]

DerpZ

[zinc token]

I saw on stack they constructed a bunch of open intervals or something?

I didn't understand it at all tho

[lean otter]

tan(πx-π/2) works for (0,1) too

[zinc token]

(This question is from understanding analysis)

[lean otter]

oh ok seems this is impossible with continuous functions, we need something more clever

[zinc token]

Yeah I thought so too hmm

The annoying bit is the 0 ugh

What if I "pull out" the rationals

[lean otter]

you could pull out all elements in the form of 1-1/n and do something different to them, while mapping all other reals to itself

[zinc token]

Yeah yeah

HMM

Yeah I think that's it

I'll play around with it myself for a bit, thanks!

[lean otter]

i think its for topological reasons that the preimage of an open set of a continuous function has to be open too

[zinc token]

Yeah a continuous function won't work

,close

.close

[safe radish]

Channel closed

Closed by @zinc token

Use .reopen if this was a mistake.

[toxic stratus]

@zinc token what if say

you send 0 to 1/2

then 1/2 to 1/4

and 1/4 to 1/8

etc

and keep everything else where they are

[zinc token]

Hmm

[toxic stratus]

.reopen

[safe radish]

✅

[zinc token]

So I would have f(x) if x is 1/2n n is natural then output 1/4n

Otherwise x

[lean otter]

send 1-1/n to 1-1/(n+1)

[toxic stratus]

you could do this a number of ways

the one im suggesting is

send 0 to 1/2

and 1/2^n to 1/2^(n+1)

and you can undo this map

just by sending 1/2^n to 1/2^(n-1)

and sending 1/2 back to 0

[zinc token]

Ok that is pretty clever

Thanks

.close

[safe radish]

Channel closed

Closed by @zinc token

Use .reopen if this was a mistake.

[toxic stratus]

lol i didnt come up with it

one of my profs taught me this

[zinc token]

im just studying this for fun so I didn't have anyone to teach me this oof

[toxic stratus]

yeah i had a class on this like 6 years ago

it was fun

[zinc token]

this is interesting yeah

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[agile sable]

For f(x)=x^2+2x and g(x)=5x+1 find (fog)(x)

[lean chasm]

you mean $f \circ g$?

[flat frigate]

illuminator3

[agile sable]

yes

[lean chasm]

show work

[agile sable]

i just have trouble inputing f into g

i can solve

[lean chasm]

you have to put g into f

[proper crypt]

You need to input g into f.

[agile sable]

what should it look like after input

[lean chasm]

,, (f \circ g)(x) = f(g(x))

[flat frigate]

illuminator3

[agile sable]

That’s what I got

<@&286206848099549185>

[proper crypt]

that's g(f(x))

you want f(g(x))

plug g(x) into the input of f(x)

[agile sable]

ahhh okay

so whatever i have set to x is now going to turn into g(x)?

[proper crypt]

yes

[dusk vapor]

hunter hunter be helping Mai San

🤡

[proper crypt]

chris what's your goal here

[dusk vapor]

quite goaless

to be frank

[safe radish]

@agile sable Has your question been resolved?

Channel closed

Closed by @agile sable

Use .reopen if this was a mistake.

[agile sable]

.close

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[fickle trail]

I’m interested in the placement of the i

Does it matter if i is in the numerator, denominator, or in front or behind the fraction altogether?

[proper crypt]

In front or behind, no

[dusk vapor]

hunter hunter

[fickle trail]

Hmmmm

[proper crypt]

numerator and denominator, yes

[dusk vapor]

hunterX HUnter

[proper crypt]

omg

what

[fickle trail]

Why wouldn’t in front or behind work?

[dusk vapor]

https://tenor.com/view/killua-hunter-x-hunter-gif-25663739

[cosmic grove]

i is just a number tho

[dusk vapor]

exactly

[cosmic grove]

doesnt matter where it is

[fickle trail]

Multiply by √3/√3 to remove radical on denominator

But the i started in front to begin with

[cosmic grove]

yea, why not ?

[fickle trail]

Keeping in front is not valid?

[cosmic grove]

why ?

[fickle trail]

Oh because it would say entire fraction is negative discriminant?

If having i in numerator only it states only numerator is negative discriminant

[cosmic grove]

??

i dont understand your question

[fickle trail]

Do you know what the term discriminant refers to in math?

[cosmic grove]

discriminant = b^2 - 4ac
with a polynomial ax^2 + bx +c, a=/=0

[fickle trail]

Discriminant refers to whatever value is underneath of the radicand symbol

[cosmic grove]

yea and ?

[fickle trail]

Yes exactly the quadratic formula

Why are you confused with my question?

[cosmic grove]

i dont understand your problem with i

[fickle trail]

I’m asking why the i cannot be in front or behind

[toxic stratus]

redstone is saying it doesnt matter

put it anywhere you want

behind

[cosmic grove]

^

[toxic stratus]

in front

on your head

[fickle trail]

Oh, I read this as numerator only

[toxic stratus]

wherever

doesnt matter

well

dont transfer something from the numerator to the denominator

but put it anywhere you want

[fickle trail]

“In front or behind, no” not sure what this is referring to

[dusk vapor]

snow is quite right

i concur with snow

[toxic stratus]

you asked "does it matter"

and they answered "no"

[fickle trail]

Oh I see

[dusk vapor]

snow is quite righty

[fickle trail]

Got it now thanks

[cosmic grove]

$i\sqrt{3} = \sqrt{3} i$

[flat frigate]

Ｈｅｒｅｌｓ

[cosmic grove]

still the same thing i guess

[fickle trail]

Why you blasting anime memes when I’m asking a question? Kind of distracting

“Hunter hunter” ?

Why?

.close

[safe radish]

Channel closed

Closed by @fickle trail

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[cyan pecan]

I am confused, Are elements of the set of natural numbers ordinals? and cardinal numbers are the cardinality of such sets

[cyan pecan]

How should one think about this

I know ordinals are; first, second third fourth and cardinals are; 1,2,3,4.. (The former referring to an ordering within a set and the latter refering to the cardinality of a set, hence the name)

But in ZFC we construct the Von Neuman Ordinals and declare this set to be N

Implying the elements of N are ordinals

is this correct?

[safe radish]

@cyan pecan Has your question been resolved?

[cyan pecan]

<@&286206848099549185>

[safe radish]

@cyan pecan Has your question been resolved?

[mortal sandal]

So well

[mortal sandal]

Ordinals and Cardinals can both be thought of as sets

And in that case, every cardinal is an ordinal

Every natural number, ω, ω1, ... are the cardinals

so yeah every natural number is an ordinal and a cardinal

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[mortal sandal]

usually cardinals are thought of as equivalence classes on set size

not by their set definition

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[mild shoal]

I don’t know what to do for #17

[terse ether]

Tan(26)

[mild shoal]

Oh why is it tan cuz I got cos

[terse ether]

You have the adjacent and you are trying to find the opposite of the angle

[mild shoal]

Oh ok

Ty

.close

[safe radish]

Channel closed

Closed by @mild shoal

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[fleet folio]

i know this is false but can someone show me how you would solve for it

[fleet folio]

like full steps

[tardy mango]

$-2 \ln 2^2 =\ln((2^2)^{-2})=\ln(4^{-2})=\ln(1/16)$ \ \ $e^{\ln(1/16)}=1/16$

[flat frigate]

Civil Service Exam is good

[tardy mango]

,w e^{-2 \ln 2^2}

[flat frigate]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by Civil Service Exam is good#1465

[fleet folio]

.close

[safe radish]

Channel closed

Closed by @fleet folio

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[viral gorge]

hi

[viral gorge]

$\frac{x^2}{xy-y^2} - \frac{x^2+y^2}{x^2-y^2} - \frac{y^2}{xy+y^2}$

[flat frigate]

Raid

[viral gorge]

I factorized them in the following way

$\frac{x^2}{y(x-y)} - \frac{x^2+y^2}{(x-y)(x+y)} - \frac{y^2}{y(x+y)}$

[warm stirrup]

what could be a common demoninator?

[flat frigate]

Raid

[viral gorge]

Is it (x-y)(x+y) * y ?

[warm stirrup]

👍

[viral gorge]

so why the hell

my result is not right ahah

sending the pic

$\frac{x^2}{y(x-y)} - \frac{x^2+y^2}{(x-y)(x+y)} - \frac{y^2}{y(x+y)}$

sorry for the quality

are my divisions right? I don't think so

[flat frigate]

Raid

[lean otter]

calculator

[warm stirrup]

this looks correct

[viral gorge]

the answer seems wrong

my calculator says its x/y

but I get x^3 - xy^2

[lean otter]

one second

ill solve

[viral gorge]

speedrun

xD

[warm stirrup]

no you're correct

you just can simplify that more

[viral gorge]

wat

how

[warm stirrup]

and then it cancels really nicely

[viral gorge]

they dont have the same letteral part

[warm stirrup]

what common term can you take out?

[viral gorge]

x

[warm stirrup]

ok

[viral gorge]

x(x^2 - y^2)

[lean otter]

easiest way to solve problem is to use photomath

[viral gorge]

?

[lean otter]

hacks irl

[viral gorge]

yea but I am practicing ahah

[lean otter]

ahhh

[warm stirrup]

do you know difference of squares?

[viral gorge]

yea

[warm stirrup]

then

do it

:)

[viral gorge]

x((x-2)(x+2)) ?

[warm stirrup]

not quite

[lean otter]

is the ^ supposed to represent power?

[viral gorge]

yea

[warm stirrup]

x(x+y)(x-y)

[viral gorge]

oh yea yea

using ^

[warm stirrup]

then just divide

[viral gorge]

I don't see it that good xD

what do you mean divide?

[lean otter]

divide?

i think u meant multiply

[viral gorge]

but I do I get x/y

[lean otter]

x^2 + xy (x - y)

i think

[viral gorge]

yea

but whats the point

[lean otter]

mobile is so hard bro

wtf

[viral gorge]

ahaha

How can I get%

$\frac{x}{y}$

from

[flat frigate]

Raid

[viral gorge]

from

oh

ty boys

.close

[safe radish]

Channel closed

Closed by @viral gorge

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[west bough]

is f(x+y)=f(x)+f(y)?

[west bough]

always?

[cosmic grove]

no lol

[west bough]

apparently it works only for matrixes then

in other words linear transformations of vectors

.close

[safe radish]

Channel closed

Closed by @west bough

Use .reopen if this was a mistake.

[lean otter]

(light reading https://en.wikipedia.org/wiki/Cauchy's_functional_equation)

[warm stirrup]

oh baby cauchy equation

so it's true for f(x)=ax

but if you invoke axiom of choice

then you can get some wacky discontinuous functions

[west bough]

👀 that's an answer

[warm stirrup]

it's a very interesting functional equation

[west bough]

that makes a lot of sense

matrices are in the form ax=f(x)

explains it perfectly

a matrix x vector

deamn

[warm stirrup]

but also there are some other weird solutions

and you can't prove if those other solutions exist or not

unless you assume axiom of choice

[west bough]

but they just exist and work?

oh ok

[warm stirrup]

I can't define a pathological solution explicitly

[west bough]

no clue what that means i gotta continue studying now tho

.close

oh already did that

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[west acorn]

The awnser is -39 right?

[warm stirrup]

are you sure?

[west acorn]

Or is it 39 becayse

[warm stirrup]

what does |x| mean

[west acorn]

Theres no negatives at all

[west acorn]

Im nit sure but ik how to solve them in like problems

[warm stirrup]

(hint: |x|>=0 always)

[west acorn]

Oo a face

=0

Oh ok

So it is just plain 39

[safe radish]

@west acorn Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lean otter]

Can someone help me understand

[safe radish]

Please don't occupy multiple help channels.

[idle parrot]

what do you not understand, like what question means? or how to find what it means?

[lean otter]

How to find what it means , I I know I want to substitute 7 for y in the equation

[idle parrot]

okay so substitute y=7 in I=3.44y+9

[lean otter]

So 33.08 , or is that now how I’d do it

[idle parrot]

that will tell you percent of insta users in 7th year

[lean otter]

3.44x7+9

[idle parrot]

,w 3.44(7) +9

[flat frigate]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by Deep.#0001

[idle parrot]

yes

so 33.08 % users since 7 years past 2012

[lean otter]

Oh okay so that’s what the next part was asking

[idle parrot]

yes

[lean otter]

Thank you would you be able to help me with one more it’s another word problem I don’t understand

I know the variable but the construct a series of expressions I don’t understand

[idle parrot]

,rccw

[safe radish]

@lean otter Has your question been resolved?

[safe radish]

@lean otter Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lean ruin]

read up on the algebra of polynomial functions

im not qualified enough to talk about this lmao tbh

but i think the answer is d

factorize and divide have fun

[lean otter]

If you take x=1 f/g is only equal to the last answer i think

[lean ruin]

it does. f(x)/g(x) = f/g(x). write down f(x)/g(x). now to simplify factor them

$\frac {f}{g}(x) = \frac {f(x)}{g(x)}$

[flat frigate]

utrebsto

[lean otter]

You should check a video may be

[lean ruin]

oh thats just a method to factor quadratics mate!

which gives us $\frac {2x^2-5x-3}{2x^2+x} = \frac {(x-3)(2x+1)}{x(2x+1)} = \frac {x-3}{x}$

[flat frigate]

utrebsto

[safe radish]

Channel closed

Closed by @hazy fjord

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lyric nebula]

Does anyone know if I did anything wrong or is it right because I am very confused

[lean otter]

,rotate

[lean otter]

a can be negative, in which case |a|=-a=b>0 so it's wrong

|x| = x if x>0 and |x| = -x if x<0

[lyric nebula]

oh okay

thank you

.close

[safe radish]

Channel closed

Closed by @lyric nebula

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[topaz rain]

https://cdn.discordapp.com/attachments/991335172777713764/1023939054028460123/EEBC812F-E207-4045-8B5B-535BA9258914.jpg

[topaz rain]

is this actually solvable

[merry sleet]

#❓how-to-get-help feynman

[safe radish]

@topaz rain Has your question been resolved?

[plucky elk]

meme questions go into #chill

.close

[safe radish]

Channel closed

Closed by @plucky elk

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lean otter]

how did they get x/2 as u here?

[warm stirrup]

the bot just picked it

in order that the denominator be of the form sqrt(1-u^2)

then trig sub

[lean otter]

yes i am aware

im asking where it got the x/2 from

[pure agate]

$4u^{2} = x^{2}$

[flat frigate]

Kookiemon

[lean otter]

ok yes i know that but like where did they pull x/2 from

[pure agate]

4u^2 = x^2
2u = x
u = x/2

[lean otter]

2/2?

thats some wacko shit

[pure agate]

The goal with these types of integrals is to figure out a way to transform the expression into a form that you know how to solve.

sqrt(4 - 4u^2) = 2 * sqrt(1 - u^2)

[safe radish]

@lean otter Has your question been resolved?

Channel closed

Closed by @karmic trout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

Channel closed

Closed due to the original message being deleted

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[azure stone]

i need some help with bhaskara's formula, i havent quite understood it, and it just puzzles me while doing work

[azure stone]

also please do realise that english isnt my main language, so my translation of math terms might be somewhat innacurate

[merry sleet]

you mean quadratic formula?

[azure stone]

ax^2 + bx + c

second degree equation

[azure stone]

no like

[merry sleet]

yeah its this

[azure stone]

b^2 - 4 . a . c

my teacher says that the 4 is negative

when multiplying

and i cant figure out why

[merry sleet]

you did the proof of this in class?

[azure stone]

especially because i saw a video saying that the 4 is also negative

[merry sleet]

or did they just give you?.

[azure stone]

but i saw somewhere else that it isnt??

[merry sleet]

it is negative

[azure stone]

here's where im bugging

i'll just screenshoot

the sum of the cordinates of the vertexes

so

a = 2

b = 10

c = 12

100 - 4 . 2 . 12

so it'd be

(-4) . 2 . 12

which would be -96

how can i differentiate the positives from the negatives

if theres no parenthesis

i know how to do this, but negative numbers just screw up my calculations

[merry sleet]

you have this discriminant

i'll call D

D = b² - 4ac right?

[azure stone]

yeah

[merry sleet]

so in our case its D = 10² - 4(2)(12)

[azure stone]

mhm

[merry sleet]

i just replaced

a by 2

and c by 12

[azure stone]

well yes, its all fun and games until i have to put the - 4 into it

[merry sleet]

alright

dont forget

that

-4 = -1 * (4)

so if you have

-4 . 2 . 12

its like

-1 (4 . 2 . 12)

which is like

• (4 . 2 . 12)

[azure stone]

oh

[merry sleet]

when you see a minus before a number

its like that number times -1

and since you can do multiplications in any order

you can do the minus one times whatever is left

at the end

so here

you just do

4 . 2 . 12 = 96

and put the minus before it

so D= 100 - 96

[azure stone]

well

[merry sleet]

D = 4

[azure stone]

heres what trips me up

isnt 96 just positive at the end of the day?

100 - 96

just leave it at that

forget what we did before

[azure stone]

the 96 would just be positive in here

i'll just show my thought process through this multiplication

-4 . 2 . 12

-4 . 2

-8

-8 . 12

-96

what did i do wrong here to find it negative

[merry sleet]

nothing

its negative

[azure stone]

im going nuts

wait

so

[merry sleet]

its either you think of it as

adding -96

or substracting 96

but its the same

[azure stone]

so i can just do 100 + (-96)

and it'll still be correct

[azure stone]

like, my teacher wont mind if i put this in my written calculations to show how i got to a result

[merry sleet]

yeah

• (-96) = -96

its the same

[azure stone]

benjamin

this whole bimester

since the very start

i always did my calculations scared of doing any multiplication

now i understand this

[merry sleet]

just quickly if you have

[azure stone]

benjamin

[merry sleet]

12 - a*b

[azure stone]

i cant thank you enough

on god

[merry sleet]

with b = -3 and a = 2

how would you do this?

[azure stone]

ok wait wait

(-3) . 2

-6

12 - 6

wait

nono

i didnt read it right

mb

[merry sleet]

yeah

[azure stone]

ima edit messages

[azure stone]

this part remains unchanged, even though the number is technically different

is this normal

[merry sleet]

no its not

do it with the whole expression from the beginning

like

12 - (-3)(2)

go on

[azure stone]

12 - (-3) . 2

[merry sleet]

why did the - disapear?

[azure stone]

didnt type

[merry sleet]

oh yeah

[azure stone]

i edited

[merry sleet]

if you struggle dont forget about the hidden -1

[azure stone]

well its still 12 - 6 though, isnt it?

[merry sleet]

its not

12 - (-3) . 2 = 12 + (-1)(-3).2