Question

$find \: the \: value \: of \: x \: if \: \frac{x + a}{x - a} = \frac{b - a}{b + a}$
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Answer 1

• Answer :-

→ x + a/x - a = b - a/b + a

→ (x + a)(b + a) = (x - a)(b - a)

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

→ xb + xa + ab + a² = xb - ax - ab + a²

→ xb - xb + xa + ax + ab + ab = a² - a²

→ 2ax + 2ab = 0

→ 2(ax + ab) = 0

→ ax + ab = 0

→ ax = - ab

→ x = -ab/a = - b

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