Question

2/x+1 + 1/x-1 = 1 solve for x

Answer 1

Question:

Solve for x in the given equation:-

2/(x+1) + 1/(x-1) = 1.

Answer:

x = 0 or 3

Solution:

We have;

=> 2/(x+1) + 1/(x-1) = 1

=> { 2(x-1) + (x+1) }/(x+1)(x-1) = 1

=> 2(x-1) + (x+1) = (x+1)(x-1)

=> 2x - 2 + x + 1 = x^2 - 1 {(a+b)(a-b) = a^2 - b^2}

=> 3x - 1 = x^2 - 1

=> x^2 - 3x - 1 + 1 = 0

=> x^2 - 3x = 0

=> x(x - 3) = 0

=> x = 0 OR (x - 3) = 0

=> x = 0 OR x = 3

Hence,

Required values of x are 0 , 3 .