Question

Find the roots.
$2x^2+x-4=0$

Answer 1

$2x^2+x-4=0$

On comparing with standard quadratic equation $a{x}^2+bx+c=0$, we get:

$a=2$

$b=1$

$c=-4$

Using the quadratic formula:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substituting the values:

$x=\frac{-1\pm \sqrt{1+4\times 2\times 4}}{4}$

$=\frac{-1\pm \sqrt{33}}{4}$

$x=\frac{-1+\sqrt{33}}{4}$, $\frac{-1-\sqrt{33}}{4}$.