Question

x+1/x = 10 -x^2+1/x^2 =​

Answer 1

$x+\frac{1}x}=10$

Squaring both side

$(x+\frac{1}{x} )^{2}=100$

$x^{2} +\frac{1}{x^{2} } +2*x*\frac{1}{x} =100$

Cancel x in numerator and denominator.

$x^{2} +\frac{1}{x^{2} } +2 =100$

$x^{2} +\frac{1}{x^{2} } =98$