Question

daca x+$\frac{1}{x} =3$ calculati $x^{4}$+ $\frac{1}{ x^{4} }$

Answer 1

[tex]x+\frac{1}{x}=3|*()^2\\ x^2+2+\frac{1}{x^2}=9\\ x^2+\frac{1}{x^2}=7|*()^2\\ x^4+2+\frac{1}{x^4}=49\\ x^4+\frac{1}{x^4}=47[/tex]