Question

Plz solve question no 10

Answer 1

${a}^{2} + \frac{1}{ {a}^{2} } = 23$

${a}^{2} + \frac{1}{ {a}^{2} } = 25 - 2$

${a}^{2} + \frac{1}{ {a}^{2} } + 2 = 25$

${(a + \frac{1}{a} )}^{2} = 25$

$a + \frac{1}{a } = 5$

$cubing \: on \: both \: sides$

${a}^{3} + \frac{1}{ {a}^{3} } + 3(5) = 125$

${a}^{3} + \frac{1}{ {a}^{3} } = 110$

Hope it helps.

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