Question

se x+1/x = 3/5 , calcule o valor de x elevado ao quadrado + 1/ x elevado ao quadrado

Answer 1

$x+ \frac{1}{x}= \frac{3}{5} \\ \\ (x+ \frac{1}{x})^2=( \frac{3}{5})^2 \\ \\ x^2 +2x* \frac{1}{x}+ \frac{1}{x^2} = \frac{9}{25} \\ \\ x^2+ \frac{1}{x^2}= \frac{9}{25}-2 \\ \\ x^2+ \frac{1}{x^2}= \frac{9-50}{25} \\ \\ x^2+ \frac{1}{x^2} =- \frac{41}{25}$