Question

Solve the following equation:
x+a/x-a=b-a/b+a

Answer 1

Answer:

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

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

xb+xa+ab+a^2 = bx-ab-ax+a^2

xb-bx+xa+ax+ab+ab+a^2-a^2 = 0

2xa+2ab = 0

2a(x+b) = 0

2a = 0 ,x+b = 0

a = 0 x = -b

Answer 2

ANSWER :

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

This can't be simplified more.....

I think this the simplification.

Please mark this answer as the brainliest.