Question

Solve the following quadratic equations by the method of perfect the square.
$2x^2+x+4=0$

Answer 1

$2x^2+x+4=0x^2+\frac{x}{2}+2=0x^2+\frac{x}{2}+\frac{1}{16}-\frac{1}{16}+2=0{(x+\frac{1}{4})}^2+\frac{31}{16}=0(x+\frac{1}{4})=\pm \frac{\sqrt{31}i}{4}x=-\frac{1}{4}\pm \frac{\sqrt{31}i}{4}$