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If m + 1/m = 8, what is the value of m^3 + 1/m^3?

 Jan 12, 2022
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If m + 1/m = 8, what is the value of m^3 + 1/m^3?

 

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\(m+\frac{1}{m}=8\\ m^2-8m+1=0\\ \color{blue}m\in \{4-\sqrt{15},4+\sqrt{15}\}\)

If  \(m\in \{4-\sqrt{15},4+\sqrt{15}\}\),  then  \(m^3+\dfrac{1}{m^3}=488\)

laugh  !

 Jan 12, 2022

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