Question

If x2+1/x2=7 ,find the value of x3+1/x3​

Answer 1

answer:17

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Answer 2

${x}^{2} + \frac{1}{ {x}^{2} } = 7 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 29 \\ ( {x + \frac{1}{x} })^{2} = 9 \\ x + \frac{1}{x} = 3 \\ \\ {x}^{3} + \frac{1}{ {x}^{3} } = ( {x + \frac{1}{x} })^{3} - 3(x + \frac{1}{x} ) \\ = {3}^{3} - 3 \times 3 \\ = 27 - 9 \\ = 18$