Question

Solve the equation ${2x}^2+x+1=0$

Answer 1

The given quadratic equation is ${2x}^2+x+1=0$
On comparing the given equation with ${ax}^2+bx+c=0$,
we obtain $a=2,b=1$ and $c=1$
Therefore, the discriminant of the given equation is
$D=b^2-4ac=1^2-4\times 2\times 1=1-8=-7$
Therefore, the required solutions are
$\frac{-b\pm \sqrt{D}}{2a}=\frac{-1\pm \sqrt{-7}}{2\times 2}=\frac{-1\pm \sqrt{7}i}{4}$