Question

Solve

$-x^2+x-2=0$

Answer 1

Here $-x^2+x-2=0$

Comparing the given quadratic equation with

$a{x}^2+bx+c=0$ we have

$a=-1,b=1$ and $c=-2$

$\therefore x=\frac{-1\pm \sqrt{(1{)}^2-4\times -1\times -2}}{2\times -1}$

$=\frac{-1\pm \sqrt{1-8}}{-2}=\frac{-1\pm \sqrt{-7}}{-2}$

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

Thus $x=\frac{-1+\sqrt{7}i}{-2}$ and $x=\frac{-1-\sqrt{7}i}{-2}$