Question

find the roots of the following equation by factorisation method ​

Answer 1

Step-by-step explanation:

(x+1)²-(x-1)²÷ (x²-1²) = 5/6

{x²+2x+1 -(x²-2x+1)} ÷ (x²-1) = 5/6

4x ÷ x²-1 =5/6

6×4x =5(x²-1)

24x = 5x² -5

5x²-24x-5 =0

5x² -25x+x-5 =0

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

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

x=5, -1/5