Question

Find the roots of the following quadratic equations, if they exist
$2x^2+x-4=0$

Answer 1

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

$x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$a=2,b=1,c=-4$

$x=\frac{-1\pm \sqrt{1^2-4\cdot 2(-4)}}{2\cdot 2}$

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