The roots of the equation $2x^2-7x+4=0$ are $\alpha$ and $\beta$. Without solving the equation

Question

The roots of the equation $2x^2-7x+4=0$ are $\alpha$ and $\beta$. Without solving the equation, find the value of each of the following. $\alpha^2+\beta^2$ $\dfrac{1}{\alpha}+\dfrac{1}{\beta}$

Accepted Answer

(a) $\frac{33}{4}$ (b) $\frac{7}{4}$

Evaluating symmetric functions of the roots

Evaluating symmetric functions of the roots

Solution:

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