Question

1 upon X - 1 plus 2 upon X + 1 equals to 2

Answer 1

Answer:

Step-by-step explanation:

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

LCM of denominators=(x-1)(x+1) =x^2-1

Thus,

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

=(3x-1)/(x^2-1)=2

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

=2x^2-3x-1

Using middle term split method,

2x^2-2x-1x-1

=2x(x-1)-1(x-1)

=(2x-1)(x-1)

Therefore, x=1/2 and 1