Respuesta :
[tex] \frac{x {}^{2} + 1}{ {x}^{2} } = 23 \\ {x}^{2} + 1 = 23 {x}^{2} \\ 22 {x}^{2} = 1 \\ x = 0.213[/tex]
so
[tex] \frac{ {0.213}^{3} + 1 }{ {0.213}^{3} } = 104.2[/tex]
x²+1/x²=(x+1/x)²-2*x*1/x=(x+1/x)²-2 =23
(x+1/x)²=25
(x+1/x)=5 or -5
x³+(1/x)³=(x+1/x)(x²-x*1/x+[tex] \frac{1}{x} [/tex]²)
=(x+1/x)(x²+[tex] \frac{1}{x} [/tex]²-1)
=5*22
=110
or x=-110
(x+1/x)²=25
(x+1/x)=5 or -5
x³+(1/x)³=(x+1/x)(x²-x*1/x+[tex] \frac{1}{x} [/tex]²)
=(x+1/x)(x²+[tex] \frac{1}{x} [/tex]²-1)
=5*22
=110
or x=-110
