Question

me ayudan por faaaaa

Answer 1

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$a + \frac{1}{a} = 3 \\ {(a + \frac{1}{a} )}^{2} = {3}^{2} \\ {a}^{2} + 2 \times a \times \frac{1}{a} + \frac{1}{ {a}^{2} } = 9 \\ {a}^{2} + \frac{1}{ {a}^{2} } = 7 \\ {( {a}^{2} + \frac{1}{ {a}^{2} } })^{3} = {7}^{3} \\ {a}^{6} + 3 \times {a}^{4} \times \frac{1}{ {a}^{2} } + 3 \times {a}^{2} \times \frac{1}{ {a}^{4} } + \frac{1}{ {a}^{6} } = 343 \\ {a}^{6} + \frac{1}{ {a}^{6} } + 3( {a}^{2} + \frac{1}{ {a}^{2} } ) = 343 \\ {a}^{6} + \frac{1}{ {a}^{6} } + 3(7) = 343 \\ {a}^{6} + \frac{1}{ {a}^{6} } = 343 - 21 \\ {a}^{6} + \frac{1}{ {a}^{6} } = 322$