Question

Daca x+1/x=6 atunci rezultatul expresiei x^2+1/x^2 este ..

Answer 1

(x+1)/x=6 => x+1=6x => 5x=1 => x=1/5
$\frac{ x^{2} +1}{ x^{2} } = \frac{ \frac{1}{5} ^{2}+1 }{ \frac{1}{5} ^{2} } = \frac{ \frac{1}{25}+1 }{ \frac{1}{25} } = \frac{ \frac{26}{25} }{ \frac{1}{25} } = \frac{26}{25} *25=26$