Question

If x-1/x = 8 find x²+1/x²​

Answer 1

(x - 1/x) = 8

so, (x - 1/x)^2 = 8^2

=> x^2 - 2.x.1/x + 1/x^2 = 64

=> x² + 1/x² = 64 + 2

=> (x² + 1/x²) = 66