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a fost răspuns

Stiind ca [tex]x- \frac{1}{x}=2[/tex] calculati [tex] x^{2}+ \frac{1}{ x^{2} } [/tex]

Răspuns :

Zlatan
x-1/x = 2 / ²
(x-1/x)² = 2²
x² - 2 + 1/x² = 4
x²+1/x² = 4+2
x²+1/x² = 6
[tex]x-1/x = 2 |^2[/tex]
[tex]( \frac{x-1}{x} )^2=2^2[/tex]
[tex]x^2 - 2 + \frac{1}{x^2} = 4 [/tex]
[tex]x^2+ \frac{1}{x^2} =4+2[/tex]
[tex]x^2+ \frac{1}{x^2}=6[/tex]

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