Question

x+1/x = √7 then find the value of x^2+1/x^2​

Answer 1

$x + \frac{1}{x} = \sqrt{7}$

$by \: squaring \: both \: sides \: we \: get - - - - -$

$(x + \frac{1}{x} )^{2} =( { \sqrt{7} }^{2} )$

${x}^{2} + { \frac{1}{x^{2} } } + 2 = 7$

${x}^{2} + \frac{1}{ {x}^{2} } = 7 - 2$

${x}^{2} + \frac{1}{ {x}^{2} } = 5$