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

Question

$(a)\;\large\frac{-1 \pm \sqrt{7} i}{-3}\qquad(b)\;\large\frac{-1 \pm \sqrt{3} i}{-2}\qquad(c)\;\large\frac{-1 \pm \sqrt{5} i}{-2}\qquad(d)\;\large\frac{-1 \pm \sqrt{7} i}{-2}$