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# If $\alpha, \beta,\gamma$ are the roots of $x^3+4x+1=0,$ then the equation whose roots are $\large\frac{\alpha^2}{\beta +\gamma},\frac{\beta^2}{\gamma+\alpha},\frac{\gamma^2}{\alpha+\beta}$ is :

$\begin {array} {1 1} (1)\;x^3-4x-1=0 & \quad (2)\;x^3-4x+1=0 \\ (3)\;x^3+4x-1=0 & \quad (4)\;x^3+4x+1=0 \end {array}$
Can you answer this question?

(3) $x^3+4x-1=0$
answered Nov 7, 2013 by