Question
Two roots of quadratic equations are given ; frame the equation.
10 and -10
10 and -10
✓
Answer
Let $\alpha=10$ and $\beta=-10$
$\begin{array}{l}
\therefore \alpha+\beta=10-10 \\
=0 \\
\alpha \beta=10(-10) \\
=-100
\end{array}$
$\therefore$ and quadratic equation is, $x ^2-(\alpha+\beta) x +\alpha \beta=0$
$\begin{array}{l}
\Rightarrow x^2-0(x)-100=0 \\
\Rightarrow x^2-100=0
\end{array}$
$\begin{array}{l}
\therefore \alpha+\beta=10-10 \\
=0 \\
\alpha \beta=10(-10) \\
=-100
\end{array}$
$\therefore$ and quadratic equation is, $x ^2-(\alpha+\beta) x +\alpha \beta=0$
$\begin{array}{l}
\Rightarrow x^2-0(x)-100=0 \\
\Rightarrow x^2-100=0
\end{array}$
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