Multiple choice

The quadratic equation whose roots are $\displaystyle \left ( \frac{\alpha}{\gamma} \right )^{3}$ and $\displaystyle \left ( \frac{\beta}{\gamma} \right )^{3}$ where $\displaystyle \alpha, : \beta, : \gamma$ are roots of the equation $\displaystyle x^{3} - 8 = 0$, is

  1. $\displaystyle x^{2} + x + 1 = 0$
  2. $\displaystyle x^{2} + 2x + 4 = 0$
  3. $\displaystyle x^{2} - 2x + 4 = 0$
  4. $\displaystyle x^{2} - 2x + 1 = 0$
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D Correct answer

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