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

$\frac{-b\pm \sqrt{D}}{2a}$

$=\frac{-(-1)\pm \sqrt{-7}}{2\times 1}$

$=\frac{1\pm \sqrt{7}i}{2}$