Question

what is values of x??

Answer 1

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SOLUTION:

$= > \frac{ x - a }{b} + \frac{x - b}{a} = \frac{b}{x - a} + \frac{a}{x - b} \\ \\ = > \frac{a(x - a) + b(x - b)}{ab} = \frac{a(x - a) + b(x - b)}{(x - a)(x - b)} \\ \\ we \: have : \\ (x - a)(x - b) = ab \\ \\ {x}^{2} - bx - ax + ab = ab \\ \\ {x}^{2} - bx - ax = 0 \\ \\ x - b - a = 0 \\ \\ x = a + b$



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