Question

plis con resolución doy coronita si no sabe no responda :y​

Answer 1

$a +\frac{1}{a} = 3\\\\(a +\frac{1}{a})^{2} = 3^{2} \\\\a^{2} + 2(a)(\frac{1}{a} ) + (\frac{1}{a})^{^{2}} = 9\\\\a^{2} + 2 + \frac{1}{a^{2} } = 9 \\\\a^{2} + \frac{1}{a^{2} } = 9 -2 \\\\ a^{2} + \frac{1}{a^{2} } = 7$

$(a^{2} + \frac{1}{a^{2} } )^{^{2} } = 7^{2} \\\\a^{4} + 2(a^{2} )(\frac{1}{a^{2} } )+(\frac{1}{a^{2} } )^{^{2} } = 49\\\\a^{4} + 2 +\frac{1}{a^{4} } = 49\\\\a^{4} +\frac{1}{a^{4} } = 49 - 2\\\\a^{4} +\frac{1}{a^{4} } = 47$

a⁴ + a⁻⁴ = 47

Eternamente axllxa