Question

Solve 2 (x2 + 1/x2) - (x + 1/x) - 11 = 0

Answer 1

(x-1/x)²=(x+1/x)²-4

9/4+4=(x+1/x)²

25/4=(x+1/x)²

X+1/x=±5/2

x²-1/x²=(x-1/x)(x+1/x)

x²-1/x²=(3/2)(±5/2)=±15/4

Answer 2

Refer to the attachment!!!