Question

If x²+1/x²=2 then find the value of x+1/x

Answer 1

Answer:

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

Step-by-step explanation:

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

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

$= > {(x + \frac{1}{x} )}^{2} = 4$

$= > x + \frac{1}{x} = \sqrt{4}$

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

Hope it helps you........✔✔✔

Answer 2

Answer:

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

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

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

${( x + \frac{1}{x} )}^{2} = 4$

$x + \frac{1}{x} = \sqrt{4}$=2

so,your answer is 2