Question

Ayudaa, son productos notables quien sabe ayudeme plis

Answer 1

Respuesta:

${x}^{2} + \frac{1}{ {x}^{2} } = 23$

Explicación paso a paso:

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

Simplificando:

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

Reemplazando datos:

$( {5})^{2} = 2 + {x}^{2} + { (\frac{1}{x} )}^{2}$

$25 = 2 + {x}^{2} + \frac{1}{ {x}^{2} }$

$25 - 2 = {x}^{2} + \frac{1}{ {x}^{2} }$

$23 = {x}^{2} + \frac{1}{ {x}^{2} }$