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Q.
If $\alpha$ and $\beta$ are the roots of the equation $x^2-12 x+$ $32=0$, then find the value of $\frac{\alpha^2+\beta^2}{\alpha+\beta}$
Quadratic Equations
Solution:
Find the roots $\alpha$ and $\beta$ or write $\alpha^2+\beta^2$ as $(\alpha+\beta)^2-$ $2 \alpha \beta$ and $\alpha+\beta=$ sum of the roots and $\alpha \beta=$ product of the roots.