Question

Find the roots of the foll equation by factorization.
x+1/x-1 - x-1/x+1 = 5/6 ; x is not =to 1 and -1​

Answer 1

Answer:

x=5 or -1/5

Step-by-step explanation:

x+1/x-1 - x-1/x+1 = 5/6

taking LCM in LHs

1/(x-1)(x+1) { (x+1)²-(x-1)² } =5/6

6* (x+1)²-(x-1)²=5*(x-1)(x+1)

6(x²+2x+1-x²+2x-1=5(x²-1)

6(4x)=5x²-5

5x²-24x-5=0

5x²-25x+x-5=0

5x(x-5)+x-5=0

(x-5)(5x+1)=0

x=5 or -1/5