Question

Solve: $\frac{x-b}{x+b} = \frac{a+b}{a-b}$

Answer 1

=$(x-b)(a-b)=(x+b)(a+b)$
=$x ^{2} -xb-ab+b ^{2} = x^{2} +xb+ab+b ^{2}$
⇒$-ab-ab=xb+xb$
=$2bx=-2ab$
Cancelling 2b from both sides we get
=$x=-a$
Ans:$x=-a$
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