Question

x+b/a-b=x-b/a+b solve the following equation and verify your answer​

Answer 1

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

or (x+b)/(x-b) = (a-b)/(a+b) .

Apply componendo and dividendo .

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

2x/2b = 2a/-2b .

or x/b =-a/b.

or x = - a . Answer.

Answer 2

Answer:

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

rationalize-ing  both the side

ax+bx+ab+b^2/a^2-b^2 = ax-bx-ab+b^2/a^2-b^2

ax+bx+ab = ax-bx-ab

    2bx+2ab