Question

a/x-b + b/x-a =2,x is not equal to a,b​

Answer 1

a/x-b + b/x-a =2

a/x-b + b/x-a - 2 = 0

a/x-b - 1 + b/x-a - 1 = 0

(a - x + b) / (x - b) + (b - x + a) / (x - a) = 0

(a - x + b) [(1/(x - b)) + (1/(x - a))] = 0

a + b - x = 0 and 1/(x - b)) + (1/(x - a) = 0

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

× 0

x = a + b and 2x - (a + b) = 0

x = a + b and 2x = a + b

x = a + b and x = (a + b) / 2

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