Question

Saben cómo resolver este ejercicio?

Answer 1

Eleva al cuadrado y sale practicamento solo:

$x + \frac{1}{x} = 5 \\ {(x + \frac{1}{x} )}^{2} = {5}^{2} \\ {x}^{2} + 2(x)( \frac{1}{x} ) + \frac{1}{ {x}^{2} } = 25 \\ {x}^{2} + 2 + \frac{1}{ {x}^{2} } = 25 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 23 \\ {( {x}^{2} + \frac{1}{ {x}^{2} }) }^{2} = {23}^{2} \\ {x}^{4} + 2 + \frac{1}{ {x}^{4} } = 529 \\ {x}^{4} + \frac{1}{ {x}^{4} } = 527$

Answer 2

Respuesta:

Espero te ayude :3