Very-Short-Answer Questions


Very-Short-Answer Questions

Find the roots of the quadratic equation $2 x^{2}-x-6=0$.



The given quadratic equation is $2 x^{2}-x-6=0$.

$2 x^{2}-x-6=0$

$\Rightarrow 2 x^{2}-4 x+3 x-6=0$

$\Rightarrow 2 x(x-2)+3(x-2)=0$

$\Rightarrow(x-2)(2 x+3)=0$

$\Rightarrow x-2=0$ or $2 x+3=0$

$\Rightarrow x=2$ or $x=-\frac{3}{2}$

Hence, the roots of the given equation are 2 and $-\frac{3}{2}$.


Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now