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Daca x-1/x=3 cat e x la puterea2+1/x la puterea2?

Răspuns :

x + 1 / x = 7 | ^ 2

[tex](x + \frac{1}{x} {}^{2} = 7 {}^{2} [/tex]
[tex]x {}^{2} + \frac{1}{x} {}^{2} + 2 \times x \times \frac{1}{x} = 49[/tex]
[tex]x {}^{2} + \frac{1}{x} {}^{2} + 2 = 49[/tex]
[tex]x {}^{2} + \frac{1}{x} {}^{2} = 47 [/tex]
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