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Mathematics 15 Online
UkuleleGirl:

DIfference of squares, Please check my work :)

UkuleleGirl:

Question: \(64-121x^2\) Work: \(\sqrt{121x^2}=11, \sqrt{64}=8\) : (11x+8)(11x-8)=0 \(x=-\frac{ 8 }{ 11 }, x=\frac{ 8}{ 11 }\) I'm not exactly sure if I was supposed to solve and set it equal to Zero, But I did this anyways. I hope this is correct. :)

UkuleleGirl:

@hero

Hero:

If the expression is not set equal to zero then all you have to do is factor the expression. You can only solve equations for x. Expressions are not equations.

UkuleleGirl:

OKay So its just (11x+8)(11x-8)

Hero:

Actually that is not correct.

UkuleleGirl:

uhhhh I was told difference of squares you take the square root of both. and write it 2 times

Hero:

You cannot switch the order of the terms in a subtraction

UkuleleGirl:

What do you mean?

UkuleleGirl:

is it just (11x-8)?

Hero:

\(a^2 - b^2 = (a + b)(a - b)\) \(a^2 - b^2 \ne (b + a)(b - a)\)

UkuleleGirl:

uhhh

Hero:

Also \(a^2 - b^2 \ne b^2 - a^2\)

UkuleleGirl:

that sign means plus or minus?

Hero:

\(\ne\) means not equal

UkuleleGirl:

oh...there is a sign that means plus or minus. i just got confused.

UkuleleGirl:

so like what am I supposed to do

Hero:

\(\pm\) is plus-minus

UkuleleGirl:

Yes thaat one.

Hero:

I can't give you the answer but this should help: \(25 - 4x^2 = (5 + 2x)(5 - 2x)\)

UkuleleGirl:

I know. I thought I had the answer which was why I asked to check over it

Hero:

You have yet to post the correct answer btw.

UkuleleGirl:

I understand. I'm working it out.

UkuleleGirl:

where the heck did you get 4 and 2 from?!!!!!

Hero:

You've simply confused the order of the terms

Hero:

What I posted was an EXAMPLE

UkuleleGirl:

oooooh

UkuleleGirl:

There is only 2 terms in this whole problem

UkuleleGirl:

Hero:

I guess the help video did not help.

UkuleleGirl:

nope

UkuleleGirl:

They Don't make sense. They always talk about some kind of large word and somehow do all this rocket science and get the same answer

Hero:

So the formula is \(a^2 - b^2 = (a + b)(a - b)\) Sample Problem: \(49 - 100x^2\) 1. Note the values of \(a\) and \(b\): In this case, \(a = 7\) and \(b = 10\) 2. Therefore the factored form of \(49 - 100x^2\) is: \((7 - 10x)(7 + 10x)\) <-- Correct factorization 3. Do not factor this way: \((10x + 7)(10x - 7)\) <--- Incorrect factorizations

UkuleleGirl:

-_- you could have just told me to switch it this entire time. instead of doing all this. u_u

Hero:

@hero wrote:
You've simply confused the order of the terms

UkuleleGirl:

-_- oh

UkuleleGirl:

OKAY my bad

Hero:

AND you still have yet to post the correct answer.

UkuleleGirl:

-_- i'm anooying people in the all sub sorry. The right answer is (8-11x)(8+11x)

Hero:

Finally.

UkuleleGirl:

-_-

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