Question

Form the quadratic equation if the roots are $6$ and $7$.

Answer 1

Let $\alpha =6$ and $\beta =7$
$\therefore \alpha +\beta =6+7=13$
and $\alpha \beta =6\times 7=42$
The required quadratic equation is
$x^2-(\alpha +\beta )x+\alpha \beta =0$
$x^2-13x+42=0$