Question

If x+1/x=11 then find the value of x?+1/x?

Answer 1

Given that
$x+ \frac{1}{x} = 11$
Squaring on both sides
$(x+ \frac{1}{x})^2 = 121$
$x^2+ \frac{1}{x^2} + 2.x. \frac{1}{x} = 121$
$x^2+ \frac{1}{x^2} + 2 = 121$
$x^2+ \frac{1}{x^2} = 119$