Question

If x-3=1/x find the value of x2+ 1/x2

Answer 1

Answer:

$x^2+\frac{1}{x^2}=11$

Step-by-step explanation:

$x-3=\frac{1}{x}\\x-\frac{1}{x}=3$

Squaring on both sides,

$x^2+\frac{1}{x^2}-2=9\\x^2+\frac{1}{x^2}=11$