Question

x + b / a - b = x - b / a + b . solve the equation...​

Answer 1

Answer:

Given x+b/a-b = x-b/a+b can be written as

  (x+b)(a+b) = (x-b)(a-b)

(x+b)(a+b) = (x-b)(a-b)  xa + xb + ab + b^2 = xa - bx - ba + b^2

(x+b)(a+b) = (x-b)(a-b)  xa + xb + ab + b^2 = xa - bx - ba + b^2  xa + xb + ab + b^2 - xa + bx + ba - b^2

(x+b)(a+b) = (x-b)(a-b)  xa + xb + ab + b^2 = xa - bx - ba + b^2  xa + xb + ab + b^2 - xa + bx + ba - b^2  2xb + 2ab = 0

(x+b)(a+b) = (x-b)(a-b)  xa + xb + ab + b^2 = xa - bx - ba + b^2  xa + xb + ab + b^2 - xa + bx + ba - b^2  2xb + 2ab = 0  2b(x + a) = 0

2b(x + a) = 0  x + a = 0

2b(x + a) = 0  x + a = 0  x = -a.

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