Question

Sex + 1/x=b, calcule x2+1/x2​

Answer 1

Resposta:

b² - 2

Explicação passo-a-passo:

$Se~~ x + \frac{1}{x}=b~~calcule~~x^2+\frac{1}{x^2}\\\\Quadrando~~x+\frac{1}{x}=b\\\\ (x+\frac{1}{x})^2=b^2\\\\ x^2+2\diagup\!\!\!\!x.\frac{1}{\diagup\!\!\!\!x}+\frac{1}{x^2}=b^2\\\\ x^2+2+\frac{1}{x^2} =b^2\\\\x^2+\frac{1}{x^2}=b^2 -2$