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

7

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