• October 15th 2012, 03:06 PM
DeziB
how to solve 3/x+4 minus 8/x-4 =11/x^2-16
• October 15th 2012, 03:43 PM
amthomasjr
Start by getting a common denominator with the terms on the left side of the equal sign.

$\frac{3(x-4)}{(x+4)(x-4)}-\frac{8(x+4)}{(x-4)(x+4)}$

Can you take it from there?
• October 15th 2012, 04:57 PM
Soroban
$\text{Solve for }x\!:\;\frac{3}{x+4} - \frac{8}{x-4} \:=\:\frac{11}{x^2-16}$
We are given: . $\frac{3}{x+4} - \frac{8}{x-4} \;=\;\frac{11}{(x-4)(x+4)}$
Multiply by $(x\!-\!4)(x\!+\!4)\!:\;\;3(x-4) - 8(x+4) \:=\:11$