Question

(x+1/x-1) - (x-1/x+1) = 5/6​

Answer 1

Answer:

(x+1/x-1)-(x-1/x+1)=5/6.

(x+1)(x+1)-(x-1)(x-1)/x²-1²=5/6. (Because (a-b)(a+b)=a²-b²).

(x+1)²-(x-1)²/x²-1=5/6.

((x)²+2(x)(1)+(1)²)-((x)²-2(x)(1)+(1)²)/x²-1=5/6. (Because (a+b)²=a²+2ab+b² & (a-b)²=a²-2ab+b²).

x²+2x+1-(x²-2x+1)/x²-1=5/6.

x²+2x+1-x²+2x-1/x²-1=5/6. (Because -×-=+ & -×+=-).

2x+2x/x²-1=5/6.

4x/x²-1=5/6.

4x=5/6(x²-1).

4x=5/6x²-5/6.

5/6x²-4x-5/6=0.

5x²-24x-5=0.

a=5, b=-24 & c=-5.

I think this is your answer.