Question

solve the equation x-b/ x+b= a+b/a-b​

Answer 1

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