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x=+ or - 24^(1/2)

x=+ or -2*6^(1/2)

x=2*6^(1/2)
x=-2*6^(1/2)

i really need help figuring it out, not just the answer.

\[x^{2}=9\]
wouldn't you agree x=-3 and x=3
since (-3)^2=9
and (3)^2=9

no

x^2=24

what is (-3)^2?

-9

no (-3)^2=(-3)(-3)=9

-3^2=-3*3=9 since the square is only on the 3 and not the whole thing

i don't understand where the 3 comes from.........

x^2=9
just tell what would go in the place of x

tell me what you think would go there?
ask yourself what is something square that will give me 9?

i understand. maybe i don't know where you get the 9 then....

?
i made up the problem

oh. wtf... lol. i can figure out your problem, why can't i figure out this other one?

lol

thanks for the example btw :)

x^2=9
to solve equations like this you take the square of both sides
and you always put + or -

x^2=81
what will your solutions be?

x=+or-9

x^2=56
what would x be?

somewhere between 7 and 8.... :/

lol
x=+sqrt(56)
x=-sqrt(56)

okay. i can write it like that :)

you can simplify this
x=+ or - sqrt(8*7)=plus or minus sqrt(2*2*2*7)=+ or - 2sqrt(14)

like when we did x^2=9
we got x=sqrt(9)=3 and x=-sqrt(9)=-3

okay. why not 2*sqrt7?

sqrt(8*7)=sqrt(2*2*2*7)=sqrt(4*14)=sqrt(4)sqrt(14)=2sqrt(14)

sqrt(ab)=sqrt(a)sqrt(b) is a rule you can use in the future k?

wow. you are very helpful. this is something i am lacking in my knowledge.... :)

thanks :)

give me a sec. i will attempt the original prob...

can you do
x^2=54

i see. sorry. having internet issues here. :/

x=+or- 3sqrt(6)?

i believe this makes sense. :D i would like to know if the last one i did is correct :)

http://www.wolframalpha.com/input/?i=x^2%3D54
MHUAAHAHA!!! You are the best!