Question

If x + 1 / x = √8, find the value of ?
1. x^ 2 + 1 / x^2​

Answer 1

Answer:

6

Step-by-step explanation:

$x + \frac{1}{x} = \sqrt{8}$

Squaring both sides

$(x + { \frac{1}{x} )}^{2} = {( \sqrt{8} )}^{2}$

${x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 8$

${x}^{2} + \frac{1}{ {x}^{2} } = 6$

Hope It Helps :)