help d | Mathematics | Page 1

lethal orbit Apr 11, 2024, 8:36 AM

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Help

finite swiftBOT Apr 11, 2024, 8:36 AM

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lethal orbit Help

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sacred kestrel Apr 11, 2024, 8:44 AM

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Do you know the formula for (a - b)^2?

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@lethal orbit?

lethal orbit Apr 11, 2024, 8:47 AM

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yes

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i just dont know how to do it with fractions

vagrant violet Apr 11, 2024, 8:51 AM

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I would give some helping examples but I’m on my phone

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so here’s just one:
(a + 1/x)^2
(a + b)^2 = a^2 + 2ab + b^2
(a + 1/x)^2 = a^2 + 2a(1/x) + (1/x)^2

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= a^2 + 2a/x + 1/(x^2)

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wait I messed up

lethal orbit Apr 11, 2024, 8:53 AM

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o

vagrant violet Apr 11, 2024, 8:54 AM

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better

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anything else you don’t understand now?

lethal orbit Apr 11, 2024, 8:55 AM

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vagrant violet = a^2 + 2a/x + 1/(x^2)

what happened to the 1/x in middle and what happened to the x in a bracket with 1

vagrant violet Apr 11, 2024, 8:56 AM

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do you know how to multiply fractions

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?

lethal orbit Apr 11, 2024, 8:56 AM

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yes

vagrant violet Apr 11, 2024, 8:57 AM

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what part of 2a(1/x) = 2a/x do you not understand then?

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or (1/x)^2 = 1/(x^2)

lethal orbit Apr 11, 2024, 8:58 AM

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vagrant violet or (1/x)^2 = 1/(x^2)

this one how does it become that

vagrant violet Apr 11, 2024, 8:59 AM

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(1/x)^2 is equal to (1/x) times (1/x)

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understood?

lethal orbit Apr 11, 2024, 8:59 AM

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vagrant violet (1/x)^2 is equal to (1/x) times (1/x)

ohh

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so X times X

vagrant violet Apr 11, 2024, 9:00 AM

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next up, just like how when you multiply both sides of a fraction you get a/b * c/d = ac/bd

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I.e. 3/2 * 7/5 = 21/10

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(1/x) times (1/x) becomes 1*1/x*x

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which is 1/(x^2)

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that’s it

lethal orbit Apr 11, 2024, 9:02 AM

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oh ok

vagrant violet Apr 11, 2024, 9:03 AM

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that’s basically how you square fractions

lethal orbit Apr 11, 2024, 9:10 AM

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could you help with question g?

vagrant violet Apr 11, 2024, 9:11 AM

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[r+1/sqrt(p)]^2

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do you recall what (a+b)^2 is?

lethal orbit Apr 11, 2024, 9:12 AM

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yes

vagrant violet Apr 11, 2024, 9:30 AM

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so what would “a” be in this case?

lethal orbit Apr 11, 2024, 9:57 AM

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a squared

vagrant violet Apr 11, 2024, 10:37 AM

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sorry i'm back

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no actually

vagrant violet Apr 11, 2024, 10:38 AM

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vagrant violet [r+1/sqrt(p)]^2

our "a" here is r in this equation

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hold on im gonna explain this better later i just arrived home just now

vagrant violet Apr 11, 2024, 12:55 PM

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back

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so do you know how to use (a+b)^2 ?

lethal orbit Apr 12, 2024, 2:28 AM

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what do you mean by use

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like a squared and b squared

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?

sacred kestrel Apr 12, 2024, 2:43 AM

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lethal orbit like a squared and b squared

No it's a plus b whole squared.

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He means that if he gives you a question then can you do it using that formula?

lethal orbit Apr 12, 2024, 3:54 AM

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im so confused

sacred kestrel Apr 12, 2024, 4:00 AM

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lethal orbit im so confused

a squared + b squared is a^2 + b^2.

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a plus b whole squared means (a + b)^2

lethal orbit Apr 12, 2024, 4:02 AM

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sacred kestrel a plus b whole squared means (a + b)^2

what does this equal to then

sacred kestrel Apr 12, 2024, 4:02 AM

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Let me just tell you a simple way to expand squares with fractions

sacred kestrel Apr 12, 2024, 4:02 AM

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lethal orbit what does this equal to then

There is a formula for this

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It equals a^2 + b^2 + 2ab

lethal orbit Apr 12, 2024, 4:02 AM

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oh

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perfect square

sacred kestrel Apr 12, 2024, 4:02 AM

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Think of it like this.

lethal orbit Apr 12, 2024, 4:02 AM

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?

sacred kestrel Apr 12, 2024, 4:03 AM

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That a + b = x

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So (a + b)^2 = x^2

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x^2 is x multiplied by x

lethal orbit Apr 12, 2024, 4:03 AM

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yes

sacred kestrel Apr 12, 2024, 4:03 AM

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which is (a + b)(a + b)

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just in case you forget the formula you can find it like this

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You are having problem with fractions right @lethal orbit?

lethal orbit Apr 12, 2024, 4:04 AM

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yeah

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with g

sacred kestrel Apr 12, 2024, 4:04 AM

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Let me give you a tip.

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Write the fraction as a variable.

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Take 1/sqrt(p) as x.

lethal orbit Apr 12, 2024, 4:05 AM

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i know how to find the other 2 numbers but not the middle number for g

sacred kestrel Apr 12, 2024, 4:05 AM

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Now you can easily find (r + x)^2.

lethal orbit Apr 12, 2024, 4:05 AM

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ok

sacred kestrel Apr 12, 2024, 4:05 AM

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lethal orbit i know how to find the other 2 numbers but not the middle number for g

The 2ab part?

lethal orbit Apr 12, 2024, 4:05 AM

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yes

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for g

sacred kestrel Apr 12, 2024, 4:06 AM

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lethal orbit ok

Simplify (r + x)^2

lethal orbit Apr 12, 2024, 4:06 AM

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r squared+2rx+x squared

sacred kestrel Apr 12, 2024, 4:07 AM

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Correct.

sacred kestrel Apr 12, 2024, 4:07 AM

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sacred kestrel Take 1/sqrt(p) as x.

Substitute x as 1/sqrt(p).

lethal orbit Apr 12, 2024, 4:08 AM

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r square+2r/sqrt(p)+1/p

sacred kestrel Apr 12, 2024, 4:08 AM

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lethal orbit r square+2r/sqrt(p)+1/p

That's the answer

lethal orbit Apr 12, 2024, 4:08 AM

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ohhh

sacred kestrel Apr 12, 2024, 4:08 AM

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It's r^2 + 2r/sqrt(p) + 1/p.

lethal orbit Apr 12, 2024, 4:08 AM

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okay

sacred kestrel Apr 12, 2024, 4:09 AM

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You just did the question on your own I didn't even need to do anything 💀

lethal orbit Apr 12, 2024, 4:10 AM

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i asked someone else for help but they gave me a different answer of rsquared+2rsqrt(p)/p+1/p

sacred kestrel Apr 12, 2024, 4:10 AM

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lethal orbit i asked someone else for help but they gave me a different answer of **rsquared+...

What did they give?

lethal orbit Apr 12, 2024, 4:10 AM

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sacred kestrel What did they give?

they one at the end

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the one in bold

sacred kestrel Apr 12, 2024, 4:11 AM

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lethal orbit they one at the end

You can write 1/sqrt(p) as sqrt(p)/p.

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It's the same thing.

lethal orbit Apr 12, 2024, 4:12 AM

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like for the middle it was 2r sqrt(p)/p

sacred kestrel Apr 12, 2024, 4:12 AM

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$r^2 + 2r/sqrt(p) + 1/p$

orchid spearBOT Apr 12, 2024, 4:12 AM

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Iremia

sacred kestrel Apr 12, 2024, 4:12 AM

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lethal orbit like for the middle it was 2r sqrt(p)/p

Same thing

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Sqrt(p)/p = 1/sqrt(p).

sacred kestrel Apr 12, 2024, 4:13 AM

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sacred kestrel Sqrt(p)/p = 1/sqrt(p).

If you want to understand it cross multiply.

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You get p = p.

lethal orbit Apr 12, 2024, 4:13 AM

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this was the middle number they gave me

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it the same as my middle answer?

sacred kestrel Apr 12, 2024, 4:14 AM

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you can write the denominator as sqrt(p) × sqrt(p).

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Because p = sqrt(p) × sqrt(p) correct?

lethal orbit Apr 12, 2024, 4:14 AM

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yes

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so my answer i gave is the same as this one

sacred kestrel Apr 12, 2024, 4:14 AM

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lethal orbit so my answer i gave is the same as this one

Yes.

lethal orbit Apr 12, 2024, 4:14 AM

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oh ok

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thank you

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🙂

sacred kestrel Apr 12, 2024, 4:15 AM

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lethal orbit

2r*sqrt(p)/sqrt(p) * sqrt(p).

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Sqrt(p) cancel.

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You get 2r/sqrt(p).

sacred kestrel Apr 12, 2024, 4:15 AM

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lethal orbit thank you

Yw.

vagrant violet Apr 12, 2024, 4:24 AM

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sacred kestrel Yw.

i would like to thank you for teaching me while i was gone 😅

iron oxideBOT Apr 12, 2024, 4:24 AM

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@vagrant violet has given 1 rep to @sacred kestrel

sacred kestrel Apr 12, 2024, 4:26 AM

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vagrant violet i would like to thank you for teaching me while i was gone 😅

It's chill.

vagrant violet Apr 12, 2024, 4:26 AM

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👍

sacred kestrel Apr 12, 2024, 5:09 AM

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lethal orbit thank you

Close the thread if you are done.

#help d