Question

if x+1÷x = 3, find the value of x²+1÷x²​

Answer 1

$x + \frac{1}{x} = 3 \\ \\ {x}^{2} + \frac{1}{x {}^{2} } = \: ? \\ \\ = > x {}^{2} + \frac{1}{x {}^{2} } = (x + \frac{1}{x} ) {}^{2} - 2.x. \frac{1}{x} \\ \\ = 3 {}^{2} - 2 \\ \\ = 9 - 2 \\ \\ = 7$

I hope this helps.