#How to solve this kind of Equations
652 messages · Page 1 of 1 (latest)
1st take the square root on both sides
2nd zero product theorem
3rd quadratic formula
Ehh what is zero product theorem
btw why + and - at the same time
to sum it up the product of two factors is 0 if at least one factor is 0
sounds smart
So you can deduce (2x-6) = 0 or (4-x) = 0
these are your solutions
First one :
You set let's say a variable Y = x + 2
so you set it to the content of the square
then you say that Y² = 49
so
√Y² = √49
Y = √49 or Y = - √49
x + 2 = √49 or x + 2 = - √49
x += √49 - 2 or x = - √49 - 2
S = { √49 - 2 ; - √49 - 2 }
watafak
nvm, just a big method my teacher showed me, but basicly : squareroot on both sides
bacc
yes
how yall is so good at math
From this if you resolve the absolute value you get the plus/minus solution
If only you knew how bad i am
i just love math but i'm not good at math
i am even worse
this one
i have tried
but failed
Pls next time make you x look some more fancy x so you don't think it is the multiplication sign
i'll solve and tell you how if you want ?
yes
i feel i just maked mistake but i dont know where
just -7 not -7x
and
7^2 = 49
not 42
i am stupid
lmao i know i already did something like this and yet i am struggling
ehh what i should to do if i cant find a root of 33
its like 5.7...
Result:
81
,calc sqrt(81)
i did not understood 
i gonna get lowest grade possible ig cuz i am not really get this
tommorow is the test
I just move the 4 on the left side
by subtracting 4 on both sides
,, ax^2+bx+c = 0
bacc
bacc
thanks bacc
watafak
tried 3 method and got wrong on all of them
,rccw
what is the question
First group the terms
what does that mean
2-3x^2+3x=-2-2+6x
oh ok
-3x^2-3x+6=0
yo what
x^2+x-2=0
Ohhhh i am so dumb
i have maked this shit
so far so good
how do u so smart bacc? fr how
bro
my brain hurts there is something i dont understand
that's 4th grader stuff
not smart, methodic, i think at a higher grade they get like a thing that solves it instantly
that was ouch
ok so my error (as always) is that i developed -3x times -1 into -3x 🤦
are yall high schoolers
how to make those faster like
Dude i am pissed off rn because of the fact that i can't solve 4th grade stuff
yes but i try to be good at math as i love math but don't manage to improve because yes
not really i had strange history where i skipped the most of school stuff cuz i was changed country and i am now dosnt know basics. i am 17
🥶
ok
yea awesome keep improving
one day you realize quadratic equations aint that deep
quadratic formula, alpha thing, the a(x + b)² + c thing
?
i already know all this but for some reason i always get everything wrong
and thats hard to teach those shit in norwegian language but i am russian and i somehow know english
that's an algebra or i cant focus problem
????
yea that's bad
but i don't get what are you talking about, or at least, what does algebra have to do with me always getting wrong anwsers on easy things
what you are doing (calculating numbers) is called algebra
Yes you're right
arabic term
dude i am 16 i know i am dumb but i know what algebra means 😭
i meant why are you talking algebra
i said "i suck at math" you said "that's algebra"
algebra issue
what i mean is
Yes
that your problem weak at calculating stuff
using addition/subtraction mathematical operations wrong etc
oh ok, yes you're right but how am i supposed to get better
i understand everything but can't use the thing understand
practice
take it slow
you already had a great idea
in the beginning
"substitution"
that was smart
yes for a problem like this prob overkill
but good thinking
but the issue is that i already practice
otherwise i wouldn't be able to tell you that i suck at math
algebra *
then you are doing too much
I just do anything related to what i am currently learning at school in math, practicing everyday
but why would practicing too much would be bad ?
watafak i get brain orgasm when i do right in math is that ok
my brain starts to hurt when i dont right
thats the reason why yall so much into math?
I am a programmer so 1, even if in another reality i hated math, i would still NEED math...
but then 2, i just love math, you either get it wrong or get it right, it looks so cool when everything looks right
the anwser doesn't change because of peoples interpretation, it changes because you did something to the equation
plus when you get everything right you just feel rly good
and rly smart
bro can u programm a virtual gf for me 
lmaoooo
plz
my pc is ded + i don't make data learning ai
sad
i am gonna sleep rn. this day was full of stress and math.
good night, i'll keep trying to solve it this night
Math warrior never sleeps
peoples with no life never sleeps
Rust is game full of no lifers u gonna like it
now gn
imagine you train everyday
your body gets tired
if you want to be better next training
you need
rest
same for your brain
the information needs digestion
i do 30 min to 1 h a day...
i mean, it is irregular af,,sometimes i do 12h and all
plus i don't only love math
i love physics, programming, drawing,,many other thing i have to keep updated in my small brain
i would love to tell you i have magnus carlsen's memory, but it would be a huge lie
what kind of programs are you doing
rn just theory, since i don't have pc, i just imaginates system in form of programming reasonning
like sorta scheme
when i have acess to school pc, i do leetcode problems
that's literally math
....
What does programming uses in general...
😮💨 I use math to represent it on a paper as i dont have a screen
but i don't count it as the math i acctually want and need to be better at which is algebra

programming is manifesting the math you do in your head/paper
the math i do for programming is this
that's what i am saying yes
i mix math notation with programming existing functions
yea but still you need a hobby that counters your math stress for example training/moving your body
then your body will be balanced
math stress ?
(i do sport btw)
ok wait, this is all i do : piano, caligraphy, basketball, volleyball, drawing, writing, ui design, programming, math, physics
so that means my main thing isn't math
but even with that i still suck at math
but for example i am pretty good at phyisics even tho i invest less time in physics than math
same for everything else
the only thing i don't manage to apply is math
yea i was the opposite
good at math bad at physics
Yeah most of peoples i know are like that
personally i find physics so easy cuz you litterally just apply formula
lol
i don't feel the urge to understand why it works like in math
i do, but casually, just when i am bored
yeah i dunno, i just wanna do math
math is my favorite thing for now
thats good
it's a great foundation for many things in life
especially physics
haha
lmaoo and now for some reason i can solve this
i have to be cursed or smth
,, x^2+5x+6 = 0
well, i supposed he meant that this should be = 0
bacc
so i just solved it for = 0
yes this
(-2)² + 5 • (-2) + 6 = 0
4 - 10 + 6 = 0
0 = 0
(-3)² + 5 • (-3) + 6 = 0
9 - 15 + 6 = 0
0 = 0
S = { - 2 ; - 3 }
I am thinking whether you can factor
How do you call this in english : a(x +b)² + c ?
in french we call it the Forme Cannonique
(litteral translation = canonical form )
,calc (-3)^2+5(-3)+6
Result:
0
nice
see ? i manage to solve this one but not the other one, why ? i dunno
bacc
takes some try and error
Try this
[ x^4+2x^2 = -1]
bacc
Oh wow beautiful, i would never had thought about splitting the 5x
me too
k
... you just did
because i saw the roots and knew how to factor
impossible
maybe i could have done it eventually
sum of 2 positive can't give - 1
LMAOOO LETS GO, i never manage to say it
like each time i never analyze the sign of the ellements
bacc
Try that one
i thought it was hard but it is ez gimmie a sec
yeah i see that sneaky (a - b)²
bacc
S = {√3 ; -√3} i think
yes
oh well
becomes negative why ?
for now i have :
x⁴ + 9 = 6x²
(x²)² - 2 • 3 • x + 3² = 0
(x² - 3)² = 0
right ?
bacc
thats also not possible
??? what is this one
that'S right
here
same thing, positive plus positive can't be equal to negative
ye
damn this one is rhe same also 🤦♂️
what an idiot
no wait what
i'm so coffused
how can √3 cannot be the anwser
very nice
do you want a last one
wait im trying to solve this
aight
I mean you already did here basically
yes but the anwser i found here was √3 and -√3
but you said it was wrong
no
mb
i am thinking
take your time dw
[ 3x^6-15x^3=-18]
bacc
the x³ makes it so hard
don't tell me
lmaoo it seem so obvious but i still don't get it
haha
yo wait i think i got smth
if it works i'm so happy
ok can i ask you this :
odd × odd = odd right ?
No nvm it doesn't work ahhhh
let me see
are you talking about numbers or polynomials
i dunno, but my idea was : the first expression was a sum of an odd number and an even number which cannot give us a even number
forget bout it i'll try smth else
ain't no way i have to develop it
that they have a factor in comon which is x³
LMAOO I LITTERALLY THOUGHT ABOUT IT BUT THEN GAVE UP
wait i just have to write to check if i am right
ok nvm i am wrong
the 3 ruins everything
😮💨
no
i'am trying smth else
[ 3((\textcolor{cyan}{x^3})^2-5\textcolor{cyan}{x^3}+6)=0 ]
i have this on my paper but what now ?
bacc
k wait
wait what
where this 6 comes from
18/3 = 6
so the 3 shouldn't be here
no wait what
bro what is this thing
I just factored the 3
each term has a factor 3
15 = 5 * 3
18 = 6 * 3
What about substitution
substitution ??
the very thing you suggested in the beginning
u = x^3
?????
ohh ok when you set a variable
Say y = x+2
srry in frech names are way différent so sometimes i will just not understand
wait pls
it is so confusing
i learned substitution for only that specific case
substitution means to replace something
then i dunno what it is, or at least then current equation is so big i can't see it
ohh wait
N = x³
and you get a trinom
N² - 5N + 6 = 0
to solve (x + 2) ² = something
ok so result is the cube root of -2 and -3
i noticed the quadric you out here is the same as the last you gave me
so result are the same but they are under a ^3
no
now resubstitute
n = -2 and n = -3
so what is x?
given x³ = n
x is the cubic square root of n
....
i mean it
bro 😭
i litterally said it here
i mean your right i didn't said cubic, i said cube because kt ks in french
but i meant cubic root
ahhh i dunno how english peoples call this
no no dw i should have said cubic
bro how was i supposed to find all this sequence by my own
😭
but that's cool ! now i know a new patern
no
i under stand cube root
i didnt read it
cube root of -3 and -2 is absolutely right
it is night
and understandble english
you're german ?
it is night time that's why
probably
Ah tu parles le français ?
also playing minecraft haha
ich sprache deutch
not too good unfortunately 💀
in france they teach us german very badly
but the lang is so cool
haha ye saw that
bro has good tastes
btw thx dude learned alot !
did you
i do, now i also know i have to force my brain to find path to substitution
bacc
mhhhh
wait i was thinking about smth for this one
so i moved thing arround ect rn i am at :
6x - x² = 1
nice basically
2u-u²=1
substitution again
yea
can i say, since the result is 1, x² has to be equal to 6x - 1
2 not 6
so i rewrite x² as 6x - 1 directlt ?
2 ?
sqrt(x) = u
it's 2sqrt(x) not 6sqrt(x)
-2√x = -1-x
4x = (-1-x)²
then
6x = 1 + x²
ohhhh right
nvm i have to fix smth
yeahhh i forgot the - on the 1
so ok i meant : 2x - x² = 1
so can i say x² = 2x - 1
use a different variables
wait no
i can't since it will cancel out
me too
bacc
Again a quadratic in disguise
yeh he teaching my dumbass to be better at math
no
i am just expanding your horizon
LMAOOOO
Wierdest one i saw in my life tbh
but that's fun
now i also know i'should develop x² into (√x)² more often
yea but be careful
x² is defined for all x
sqrt(x)² now it's only defined for non-negative x
Indeed ! but that horizon was already pretty small
what about (√√(x²))²
now x is defined for all x right ?
bacc
yes, but now it will be harder to find substitue i guess
yea depends
in this case no worries cause x is already defined non-negative because of the sqrt(x)
i am proud
indeed
u = -1 is wrong anyway
which defines x as R+
u = - 1 can't be
yep
but your thinking is still right i like that
sometimes a substitution yields more solutions
but we also have to check if they all are valid
you think so ? ngl i am scared of forgetting now
that's like forgetting how to eat
or speak
dont be
you are that smart
have that faith
Not really, you speak everyday, you eat everyday, so your brain remembers
i can tell that you are naturally looking for patterns
you do math everyday
but you dont everyday solve an undercover quadric
you think everyday
math yes, this specific math property, no
one day i will eventually stop doing this specific thing everyday and forget
you see the basic multiplication table
the one of 1, 2, 3 ... 10
math goes far beyond than just numbers
making it even harder to remember everythinf
being good at math makes you a great problem solver generally
looking for patterns, structures
logical efficient solutions
thats applicable to life dude
and you keep on training that
you will be greater than already
i know dw man, i am not that math hater
i love math
you're right
a simple example
what is more efficient
2 + 2 + 2 + 2 + 2
or
2 * 5
obviously the 2 * 5
you get faster to the solution of how it's expressed
and that kind of thinking
to choose a more efficient way of doing things
thats applicable to life
Wait no you acctually don't, this 2 × 5 is too easy as an example, why ? because as kids, we all learn multiplication tables form one to ten so we can solve any multiplication
yea
if we were freshly introduced to multiplication with no table, we would struggle as much if we do 5 * 2 or 2+2+2+2+2
but yeah it is always great
How old are you, if i can ask ofc (at least like what grade)
bacc
that infinity sum of reverse square drove me crazy last week tbh
can't figure out how tf you do an infinite sum,with a single expressions
yea sums are generally speaking not simple
exp 0 ? isn't equal to like 1
ohh ok
I was just pointing out that we all can do things in some way
but naturally we all want the fastest and most efficient way
so exp 0 = x⁵ ?
ye
ye
exactly like an ai
so conclusion : we are robots
we made the ai after all
not really
it's natural to do things in the best way
not waste time
exactly ! that's what i am currently doing, i 1m trying to find an ai that think in another way than the human way
but since i, myself, am a human, i limit my self instinctively
Anyway, thank for helping me man ! if that doesn't bother you. would you mind me sometimes asking you for help to understand stuff ?
just open a help channel in the server
believe or not
there are far far far greater minds
dw i saw many 💀
like i hope i will have that level one day
but i meant help because i like the way you explain that's all tbh
you will have
not help it self
yea guess explaining is an art in itself
Then you're mozart 
lol
Or should i say Bach 
Anyway, good night, i hope you have a wonderful tomorow, thx for helping me i'll go solve that first equation k didn't managed to solve
i am not dumb, i am just blind
my first attemp had the correct way of solving it, but what i wrote was :
(27/4)/3 = (27 × 3 / 4)
😮💨
solutions are correct
perfecting the square is cool
nice that you know how to do this
@near cargo @hexed cargo That was the worst test i had in my whole life
i shitted myself so hardly ngl
damn
bro btw what the reason why u helping ppl
idk
bro i am not the best english speaker but i defenetly need ur help with this math thing. can we go in voice
come on bro i am russian ur language cant be this bad
if you want a tutor, i am not your guy
dw man, when i do test, i fail all of them. then when i check my anwser i instantly spot the error as the test is acctually easy
test = fail
test - stress = training = success
issue : you can't remove stress durring a test by yourself
peoples who do not stress are the very good at math peoples, and the very bad at math peoples
i kind of disagree
much stress can also come from overthinking
which imo can also come from being intelligent
pretty rare, but not the same thing, here you're talking about the stress about exam in general 1nd not MATH exam
for example, i don't stress for phyisics exam cuz i do it easially, but not for math
ah i see
for math i stress alot and therefore, i fail
a)(x+2) to the power of 2 = 7 to the power of 2 (7 to the power of 2 is 49 )
We have x+2=7 ( we have 2 at the power so we assume x) x=7-2
X=5
