Question

x-b/x+b =a+b/a-b solve this please​

Answer 1

Answer:

Step-by-step explanation:

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

=>   (x+b)(a+b) = (x-b)(a-b)

=>  xa + xb + ab + b² = xa - bx - ba + b²

=>  xa + xb + ab + b² - xa + bx + ba - b² = 0

=>  2xb + 2ab = 0

=>   2b(x + a) = 0

=>    x + a = 0

=>    x = -a

Answer 2

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

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

=> xa + xb + ab + b² = xa - bx - ba + b²

=> xa + xb + ab + b² - xa + bx + ba - b² = 0

=> 2xb + 2ab = 0

=> 2b( x+a ) = 0

=> x+a = 0

=> x = - a