Question

x-3=1/x find x²+1/x²​

Answer 1

Answer:

7

Step-by-step explanation:

x-3=1/x

x+1/x=3

Squaring on both sides,

(x+1/x)² = (3)²

x² + 1/x²​ + 2(x)(1/x) = 9

x² + 1/x² = 9-2 = 7

Answer 2

$x - 3 = \frac{1}{x} \\ x - \frac{1}{x} = 3 \\ ( {x - \frac{1}{x} })^{2} = 9 \\ {x}^{2} + \frac{1}{ {x}^{2} } - 2 = 9 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 11$