# If $\alpha+\beta=-2$ and $\alpha^3+\beta^3=-56$, then the quadratic equation whose roots are $\alpha$ and $\beta$ is

$\begin {array} {1 1} (1)\;x^2+2x+16=0 & \quad (2)\;x^2+2x-16=0 \\ (3)\;x^2+2x-12=0 & \quad (4)\;x^2+2x-8=0 \end {array}$

## 1 Answer

$(4)\;x^2+2x-8=0$
answered Nov 7, 2013 by

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