Question

if x +1/x = 3, then find the value of x to the power of 2 + 1/x to the power of 2

Answer 1

Answer:

7

Step-by-step explanation:

x +  1/x = 3

$x^{2} + 1/x^{2}$

squaring on both sides

(x + 1/x)² = 3²

x² + 1/x² + 2*x* 1/x = 9

x² + 1/x² + 2 = 9

x² + 1/x² = 7