(A) 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 $c=2$.The discrimina

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(A) 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 $c=2$.The discriminant $D$ is given by $D = b^{2}-4ac$.$D = (-1)^{2}-4(1)(2) = 1-8 = -7$.Using the quadratic formula $x = \frac{-b \pm \sqrt{D}}{2a}$,we get:$x = \frac{-(-1) \pm \sqrt{-7}}{2(1)} = \frac{1 \pm \sqrt{7}i}{2}$.

Class 11 Mathematics 2 Complex Numbers and Quadratic Equations: Quadratic Equations Solution of quadratic equations and Nature of roots

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

A
$\frac{1 \pm \sqrt{7} i}{2}$
B
$\frac{1 \pm \sqrt{5} i}{2}$
C
$\frac{-1 \pm \sqrt{7} i}{2}$
D
$\frac{-1 \pm \sqrt{5} i}{2}$

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2 Complex Numbers and Quadratic Equations: Quadratic Equations

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Solution of quadratic equations and Nature of roots

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

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