Question

Se x + 1/x = 3/5, calcule x² + 1/x²?

Answer 1

Veja:

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