Question
Form the quadratic equation from the roots given below : 0 and 4

Answer

Let $\alpha=0$ and $\beta=4$
$\therefore \alpha+\beta=0+4=4$ and $\alpha \beta=0 \times 4=0$
$\therefore$ and quadratic equation is, $x ^2-(\alpha+\beta) x +\alpha \beta=0$
$\begin{array}{l}
\therefore x ^2-(4) x +(0)=0 \\
\therefore x ^2-4 x =0
\end{array}$

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