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Daca x - 1/x=6, atunci x^2 + 1/x^2=?

Răspuns :

[tex](x - \frac{1}{x})^2 = 6^2\\\\ x^2 - 2x * \frac{1}{x} + \frac{1}{x^2} = 36\\\\ x ^ 2 + \frac{1}{x^2} = 36 + 2 \\\\ x ^ 2 + \frac{1}{x^2} = 38[/tex]