Question

If x +1/x =4 then show that x^2 +1/x^2=2​

Answer 1

Step-by-step explanation:

x + 1/x = 4

then

(x + 1/x)² = 4²

x² + 1/x² + 2 × x × 1/x = 16

x² + 1/x² + 2 = 16

x² + 1/x² = 16 - 2 = 14

x² + 1/x² = 14