a²+[tex] \frac{1}{ a^{2} } [/tex] =14 ridicam la a3 si vom avea inainte de egal formula (a+b)³ si dupa egal 14³
[tex] a^{5} + 3 a^{4} \frac{1}{ a^{2} } +3 a^{2} \frac{1}{ a^{4} } + \frac{1}{ a^{5} } =2744[/tex] am simplificat a^4 cu a²
[tex] a^{5} + 3 a^{2} +3 \frac{1}{ a^{2} } + \frac{1}{ a^{5} } =2744[/tex]
[tex]a^{5} + 3 ( a^{2} +\frac{1}{ a^{2} })+ \frac{1}{ a^{5} } =2744 [/tex]
[tex] a^{5} + 3*14+ \frac{1}{ a^{5} } =2744[/tex]
[tex] a^{5} + 42+ \frac{1}{ a^{5} } =2744[/tex]
[tex]a^{5} + \frac{1}{ a^{5} } =2744-42[/tex]
[tex]a^{5}+ \frac{1}{ a^{5} } =2702[/tex]
