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 $\alpha\beta$. $3x^2-5x-4=0$ $2x^2=7-3x$

Accepted Answer

(a) $\alpha+\beta=\frac{5}{3},\ \alpha\beta=-\frac{4}{3}$ (b) $\alpha+\beta=-\frac{3}{2},\ \alpha\beta=-\frac{7}{2}$

Reading off the sum and product of roots

Reading off the sum and product of roots

Solution:

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