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

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Solution

Solving given eq. we get,

$(x + a) (a + b) = (x - b) (a - b)$

$⟹ x a + a b + a^{2} + x b = x a - a b - x b + b^{2}$

$⟹ 2 x b + 2 a b + a^{2} - b^{2} = 0$

$⟹ x = \frac{b^{2} - a^{2} - 2 a b}{2 b}$

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