Question

ayuda pliss con resolucion

Answer 1

Respuesta:

-2

Explicación paso a paso:

[tex]x+\frac{1}{x}=\sqrt{2}[/tex]

[tex](x+\frac{1}{x})^{2} =(\sqrt{2})^{2}[/tex]

[tex]x^{2} +2\frac{x}{x}+\frac{1}{x^{2} } =2[/tex]

[tex]x^{2} +2+\frac{1}{x^{2} } =2[/tex]

[tex]x^{2} +\frac{1}{x^{2} } =2-2[/tex]

[tex]x^{2} +\frac{1}{x^{2} } =0[/tex]

[tex](x^{2} +\frac{1}{x^{2} })^{2} =0[/tex]

[tex]x^{4} +2\frac{x^{2} }{x^{2} }+ \frac{1}{x^{4} } =0[/tex]

[tex]x^{4} +2+ \frac{1}{x^{4} } =0[/tex]

[tex]x^{4} + \frac{1}{x^{4} } =-2[/tex]