Question

x + a / x-a = b-a / b + a​

Answer 1

Step-by-step explanation:

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

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

{Applying componendo and divididendo }

→2x/2a = 2b/(-2a)

→x/a = -b/a

→x=-b

Answer 2

Solution:

(b + a) × (x + a) = bx - ax - ba + a²

bx + ba + ax + a² = bx - ax - ba + a²

ba + ax + a² = - ax - ba + a²

ba + ax = -ax - ba

ba + ax + ax = - ba

ax + ax = - ba - ba

(a + a) x = - ba - ba

x = - ba - ba / a + a

x = - 2ba / a + a

x = - 2ba / 2a = - ba / a

x = - b