Question

Me ayudan porfavor, no logro resolverlo​

Answer 1

Respuesta:

1

Explicación paso a paso:

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

${(x + \frac{1}{x} )}^{3} = {4}^{3} \\ {x}^{3} + \frac{1}{ {x}^{ 3} } + 3 (x )(\frac{1}{x} )(x + \frac{1}{x} ) = 64 \\ {x}^{3} + \frac{1}{ {x}^{3} } + 3(x + \frac{1}{x} ) = 64 \\ {x}^{3} + \frac{1}{ {x}^{3} } + 3(4) = 64 \\ {x}^{3} + \frac{1}{ {x}^{3} } = 52$

reemplazar

$\frac{ {x}^{3} + \frac{1}{ {x}^{3} } }{52} = \frac{52}{52} = 1$