Question

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

Answer 1

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

$2x^2+x=4$

Above Equation divide by 2 both side we get

$x^2+x/2=2$

Adding 1/4 both side we get

$x^2+\left(2x\right)\left(1/4\right)+1/16=2+1/16$
$(x+1/4{)}^2=2+1/16$
$(x+1/4)=\pm \sqrt{3}3/4$
or
$x=\pm \sqrt{3}3/4-\left(1/4\right)$