Question

si x+ 1/x=√6 . calcular x2 + 1/x2
AYUDA PLIZZZ

Answer 1

$Hola~~ Alanisyamile \\ \\ Tenemos: \\ \\ x+ \frac{1}{x}=/6 ~~--\ \textgreater \ elevamos~al~cuadrado~a~la~igualdad~seria: \\ \\ (x+ \frac{1}{x} )\²=6 \\ \\ x^{2} +2(\not x. \frac{1}{\not x} )+ \frac{1}{ x^{2} } =6~~--\ \textgreater \ simplificando~queda \\ \\ x^{2} +2+ \frac{1}{ x^{2} } =6 \\ \\ x^{2} + \frac{1}{ x^{2} } =6-2 \\ \\ \boxed{\boxed{x^{2} + \frac{1}{ x^{2} } =4}}---\ \textgreater \ respuesta$

==========================================
                                        Espero te sirva, saludos!!