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Question 1
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If $\alpha$ and $\beta$ are the two roots of the quadratic equation $x^2 + ax + b = 0, (ab \ne 0)$ then the quadratic roots whose roots $\frac{1}{\alpha^3+\alpha}$ and $\frac{1}{\beta^3+\beta}$ is
A.
$$b(b^2+1+a^2+2b)x^2-(a^3+a-3ab)x+1=0$$
B.
$$b(b^2+1+a^2-2b)x^2-(a^3+a-3ab)x+1=0$$
C.
$$b(b^2+1+a^2+2b)x^2+(a^3-a-3ab)x+1=0$$
D.
$$b(b^2+1+a^2-2b)x^2+(a^3+a-3ab)x+1=0$$
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