Question

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

Answer 1

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