THE CORRECT ANSWER IS A. 119
Given x+x-¹ = 11
now square both the side
(x+x-¹)² = 11²
now open the bracket of RHS and apply (a+b)²
you'll get,
x²+2x/x+ 1/x² =121
simplify above equation you'll get,
x²+ 2 + x-² = 121
shift the equation,
x² + x-² = 121 - 2
x² + x-² = 119 !
