The roots of each of the following equations are $\alpha$ and $\beta$. Without solving, find the

Question

The roots of each of the following equations are $\alpha$ and $\beta$. Without solving, find the value of $\alpha+\beta$ and of $\alpha\beta$. $5x=4-2x^2$ $x(3x-2)=6$

Accepted Answer

(a) $-\frac{5}{2},\ -2$ (b) $\frac{2}{3},\ -2$

Sum and product after rearranging

Sum and product after rearranging

Solution:

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