Question

Ch - Complex Numbers
Class 11
$-x^2 + x - 2 = 0$
Solve it.

Answer 1

hello my name is xcvbnm

-x^2+x-2=0
×^2-×^1=2
×^1=2
;;;;;:::: ×=2

Answer 2

Answer:

$\bold{\Huge{\frac{1 \pm \sqrt{7}i}{2}}}$

Step-by-step explanation:

$-x^2+x-2=0\\or\: x^2-x+2=0\\\therefore D = b^2-4ac = (-1)^2-4\cdot(1)\cdot(2) = 1 - 8 = -7\\\therefore x = \frac{-b \pm \sqrt{D}}{2a} = \frac{-(-1) \pm \sqrt{-7}}{2\times1}\\ = \frac{1 \pm \sqrt{7} \cdot \sqrt{-1}}{2} = \underline{\frac{1 \pm \sqrt{7}i}{2}} Ans.$