Question

(X+a/x-a)^2 - 5 (X+a/x-a) + 6 = 0 find x​

Answer 1

Answer:

Let (x+a)/(x-a) = k

k² + 5k - 6 = 0

k² - k + 6k - 6 = 0

k(k-1) + 6(k-1) = 0

(k+6)(k-1) = 0

k = 1 , k = -6

(x+a)/(x-a) = 1 or -6

(x+a) = (x-a) || (x+a) = -6(x-a)

2a = 0 || x + a = -6x + 6a

a = 0 || 7x = 5a

x = 0