Question

Daca x apartine lui R stelat ,astfel incat x+1 supra x=4,atunci aflati valoarea sumei x patrat +1 supra x patrat

Answer 1

$x+ \frac{1}{x} =4 \\ (x+ \frac{1}{x}) ^{2}=16 \\ x^{2} +2x. \frac{1}{x} + \frac{1}{ x^{2} }=16 \\ x^{2} + 2+\frac{1}{ x^{2} } =16 \\ x^{2} + \frac{1}{ x^{2} } =14$