Question

Stiind ca $x- \frac{1}{x}=2$ calculati $x^{2}+ \frac{1}{ x^{2} }$

Answer 1

x-1/x = 2 / ²
(x-1/x)² = 2²
x² - 2 + 1/x² = 4
x²+1/x² = 4+2
x²+1/x² = 6

Answer 2

$x-1/x = 2 |^2$
$( \frac{x-1}{x} )^2=2^2$
[tex]x^2 - 2 + \frac{1}{x^2} = 4 [/tex]
$x^2+ \frac{1}{x^2} =4+2$
$x^2+ \frac{1}{x^2}=6$