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Question Number 87033 by Zainal Arifin last updated on 02/Apr/20

$$\mathrm{Find}\mathrm{the}\mathrm{value}\mathrm{of}{x}^3+\frac{1}{x^3},\mathrm{when}$$$$x+\frac{1}{x}=5$$

Answered by redmiiuser last updated on 02/Apr/20

$${(x+\frac{1}{x})}^3=125$$$$\Rightarrow x^3+\frac{1}{x^3}+3(x+\frac{1}{x})=125$$$$x^3+\frac{1}{x^3}=125-15=110$$

Commented by Zainal Arifin last updated on 02/Apr/20

$$\mathrm{thank}\mathrm{you}\mathrm{sir}$$

Commented by redmiiuser last updated on 02/Apr/20

$$welcome$$

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