Question

find the roots of ^^^^^^^​

Answer 1

Answer:

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

Step-by-step explanation:

Given that:

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

Solution:

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

Squaring on both sides, we get

$(x + \frac{1}{x} )^{2} = {2}^{2} \\ = > {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 4 \\ = > {x}^{2} + \frac{1}{ {x}^{2} } = 4 - 2 \\ = > {x}^{2} + \frac{1}{ {x}^{2} } = 2 \: \: ans.$