Question

medal and fan awarded

solve the proportion x over x^2 - 2 = 2 over 3x + 5. What is the value of x?
x = 2
x = -2 and x = 2
x = -1 and x = -4
x = 4

Answer 1

ahemm, do you know how to factor? I assume so, otherwise it wouldn't make sense to give you this question

Answer 2

Well I obviously need help either way or else I wouldn't be here.

Answer 3

nvm I got help form elsewhere its x = −1 and x = −4

Answer 4

yes, but I'm assuming you do know how to factor, I mean, if you haven't covered it, you should first, thus

to get rid of the denominators multiply both sides like so

$$
\cfrac{x}{\color{red}{x^2-2}}=\cfrac{2}{\color{blue}{3x+5}}\\
\cfrac{\color{blue}{3x+5}}{\color{red}{x^2-2}}
\times
\cfrac{x}{\color{red}{x^2-2}}=\cfrac{2}{\color{blue}{3x+5}} \times \cfrac{\color{blue}{3x+5}}{\color{red}{x^2-2}}
$$

what would that give you?