Question

Sendo x a incógnita,resolva a equação literal: x+a/a-b = x-a/a+b + 4a²/a²-b²

Answer 1

$\frac{x+a}{a-b} = \frac{x-a}{a+b} + \frac{4a^{2}}{a^{2}-b^{2}} \\ \frac{x+a}{a-b}- \frac{x-a}{a+b}= \frac{4a^{2}}{(a+b).(a-b)} \\ \frac{(x+a).(a+b)-(x-a).(a-b)}{(a+b).(a-b)}= \frac{4a^{2}}{(a+b).(a-b)} \\ xa+xb+a^{2}+ab-xa+xb+a^{2}-ab=4a^{2} \\ 2xb=2a^{2} \\ x= \frac{a^{2}}{b}$

Espero ter ajudado.