Question

Solve by quadratic formula √x/1-x + √1-x/x=13/6

Answer 1

Step-by-step explanation:

√x / √(x-1) + √(x-1) / √x = 13/6 let √[ x / (1-x)] = t

⇒ t + 1/t = 13/6

⇒ 6t2 - 13t + 6 = 0 ⇒ (3t - 2)(2t - 3) = 0

⇒ t = 2/3 or t = 3/2 hence, x/(1-x) = 4/9 ------ (1) or x/(1-x) = 9/4 ----- (2)

From (1) and (2), we get x = 4/13 or x = 9/13.

I hope it's help you..