Question
Stiind ca : a + 1/a = 4 , a diferit de 0 , calculeaza a^ + 1/a^ rezultatul este
^ = la patrat
ultimul ^ de la "1/a^ " este doar la " a "
Asked by: USER8519
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Answer (181)
[tex]a+ \frac{1}{a}= 4 \ |^2 \\ \\ (a+\frac{1}{a})^2 =4^2 \\ \\ a^2 +2*a*\frac{1}{a}+ \frac{1}{a^2}= 16 \\ \\ a^2+2 + \frac{1}{a^2}=16 \\ \\ \boxed{a^2 + \frac{1}{a^2}=14}[/tex]