Question

if x+1/x=5,then x3+1/x3 is equal to​

Answer 1

Answer :

$x + \frac{1}{x} = 5 \\ \\ \bf on \: cubing \: both \: sides : \\ \\ (x + \frac{1}{x}) {}^{3} = (5)^{3} \\ \\ x^{3} + \frac{1}{x^{3}} + 3(x + \frac{1}{x} ) = 125 \\ \\ x^{3} + \frac{1}{x^{3}} + 3 \times 5 = 125 \\ \\ x^{3} + \frac{1}{x^{3}} = 125 - 15 \\ \\ x^{3} + \frac{1}{x^{3}} = 110$

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Answer 2

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