Question

If a²+1/a²=47 and a is not equal to 0 then find a³+1/a³=?

Answer 1

Answer:

Hey mate, Good Afternoon ♡

#Here's ur answer...☆☆☆

Step-by-step explanation:

$a {}^{2} + \frac{1}{ {a}^{2} } = 47 \\ = > {a}^{2} + \frac{1}{ {a}^{2} } + 2 = 49 \\ = > ( {a} + \frac{1}{a} ) {}^{2} = 49 \\ = > {a} + \frac{1}{a} = 7 \\ \\ {a}^{3} + \frac{1}{ {a}^{3} } = (a + \frac{1}{a} )( {a}^{2} + \frac{1}{ {a}^{2} } - 1) \\ = > a {}^{3} + \frac{1}{ {a}^{3} } = 7(47 - 1) = 7 \times 46 = \\ 322(ans)$

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