For-which-value-of-x-this-cubic-equation-will-be-0-a-3-16a-3-

Question Number 174800 by AgniMath last updated on 11/Aug/22

For which value of x this cubic equation will

be 0 ? a^{3} - 16 a - 3

Answered by MJS_new last updated on 11/Aug/22

a_{1} = - \frac{8 \sqrt{3}}{3} \cos (\frac{π}{6} + \frac{1}{3} \arcsin \frac{9 \sqrt{3}}{128})

a_{2} = - \frac{8 \sqrt{3}}{3} \sin (\frac{1}{3} \arcsin \frac{9 \sqrt{3}}{128})

a_{3} = \frac{8 \sqrt{3}}{3} \sin (\frac{π}{3} + \frac{1}{3} \arcsin \frac{9 \sqrt{3}}{128})

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