Respuesta:
E = 2
Explicación paso a paso:
Elevamos al cuadrado la ecuación que nos dan:
[tex](x+\frac{1}{x} )^{2} = 2^{2} \\\\x^{2} +2x(\frac{1}{x})+\frac{1}{x^{2} }=4\\\\x^{2} +2 +\frac{1}{x^{2} } = 4\\\\x^{2} +\frac{1}{x^{2} } = 2[/tex]
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Verified answer
Respuesta:
E = 2
Explicación paso a paso:
Elevamos al cuadrado la ecuación que nos dan:
[tex](x+\frac{1}{x} )^{2} = 2^{2} \\\\x^{2} +2x(\frac{1}{x})+\frac{1}{x^{2} }=4\\\\x^{2} +2 +\frac{1}{x^{2} } = 4\\\\x^{2} +\frac{1}{x^{2} } = 2[/tex]