Question

If x+1/x=√3,find the value of x^2+1/x

Answer 1

Answer:

$x + \frac{1}{x} = \sqrt{3} \\ squaring \: both \: sides \\ ( {x + \frac{1}{x} )}^{2} = { \sqrt{3} }^{2} \\ = > {x}^{2} + { (\frac{1}{x}) }^{2} + 2 = 3 \\ = > {x}^{2} + \frac{1}{ {x}^{2} } = 3 - 2 = 1$

the answer is 1.

formula used : ( a + b)² = a² + b² +2ab