What is x in this quadratic equation?
3x(squared) -8 + 4x(squared)= 5x(squared) + 48

Question

What is x in this quadratic equation?
3x(squared) -8 + 4x(squared)= 5x(squared) + 48

anonymous · Answer

$$3x ^{2} - 8 + 4x ^{2} = 5x ^{2} +48$$

directrix · Answer

Collect variable terms on the left and constant terms on the right side of the equation.

anonymous · Answer

I did that, but my friend has a different answer than me

anonymous · Answer

What is the answer?

directrix · Answer

I need to see your work or your friend's work.

directrix · Answer

I do need to ask if you are solving for x over the set of Real Numbers or over the set of Complex Numbers.

anonymous · Answer

real  numbers

directrix · Answer

Okay, now the work or the final simplified equation you and/or the friend got.

anonymous · Answer

When i collected variable terms, i ended up with 2x(squared)= 56
then x(squared) = 56/2
x(squared) = 28
x= plus or minus, square root of 28

anonymous · Answer

I don't know my friend's work, I just know she got a different answer than me

directrix · Answer

When I collected like terms and simplified, I got:

x^2 = - 28

One of us has a sign error.

directrix · Answer

And, I think it is I with the sign error.

anonymous · Answer

alright, thank you very much

anonymous · Answer

one more question if you don't mind

directrix · Answer

Wait a second. You need to simplify the radicals.

anonymous · Answer

$$2\sqrt{6}$$

directrix · Answer

x= plus or minus, square root of 28
x = ±  2 * √ 7

directrix · Answer

28 = 2*2*7

anonymous · Answer

OOOh okay, thank you!

anonymous · Answer

I get it now

directrix · Answer

What is the other question?

anonymous · Answer

That was it

directrix · Answer

Oh, okay. Better tell the friend. :)

anonymous · Answer

Haha I did

anonymous · Answer

Thanks again :D

directrix · Answer

Glad to help.