Question

Solve the proportion x over x squared minus 2 equals 2 over 3 times x plus 5.

Answer 1

like this?
\[\huge \frac{x}{x^2-2}=\frac{2}{3x+5} \]

Answer 2

yes

Answer 3

ok... cross multiplying and you'll end up with:

\[\huge x(3x+5)=2(x^2-2) \]
\[\huge 3x^2+5x=2x^2-4 \]
can you solve this quadratic equation from here?

Answer 4

um, no

Answer 5

ok... get this equation in standard form...
that is make it look like this \(\large ax^2+bx+c=0 \)

Answer 6

do some algebra to make the right side zero....

Answer 7

what? Tennis terms?

Answer 8

lol.... just kidding...

Answer 9

oh

Answer 10

your the tennis star..:)

Answer 11

need help?

Answer 12

whatever you do on one side, you do to the other... since we need to make the right side zero, subtract \(\large 2x^2-4 \) from both sides..

\[\huge 3x^2+5x=2x^2-4 \]
\[\huge 3x^2+5x\color{red}{-(2x^2-4)}=2x^2-4 \color{red}{-(2x^2-4)}\]
\[\huge 3x^2+5x\color{red}{-2x^2+4}=0\]
\[\huge x^2+5x+4=0 \]