If-1-m-3-3m-3-2-0-m-1-Find-1-m-2-3m-2-

Question Number 96530 by abony1303 last updated on 02/Jun/20

If : {(1 + m)}^{3} - 3 m^{3} = 2 0 ⩽ m ⩽ 1

Find : {(1 + m)}^{2} - 3 m^{2}

Commented by MJS last updated on 02/Jun/20

I {don}^{'} t think {there}^{'} s a “ {nice}^{″} solution

m = \frac{1}{2} - \sqrt{3} \sin \frac{\arcsin \frac{2 \sqrt{3}}{9}}{3}

\Rightarrow

{(1 + m)}^{2} - 3 m^{2} = - \frac{3}{2} + 3 \cos \frac{2 \arcsin \frac{2 \sqrt{3}}{9}}{3}

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