Question

(x - 1/2x +1) (2x+1/x-1) =2 find the value of x​

Answer 1

ANSWER: -2

Explanation:

Let the first term( rational expression)

(x-1)/(2x+1) be y

So, the 2nd term is its reciprocal, ie, 1/y

Since, y + 1/y = 2

=> y² + 1 = 2y

=> y² -2y +1 =0

=> ( y-1)² = 0

=> y = 1

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

=> x-1 = 2x +1

=> 2x -x = -1–1

=> x = -2