The number of real solutions of the equation $0 = - 3 + x - x^{2}$ is.

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Solution

The correct option is A $0$
Let $f (x) = - 3 + x - x^{2}$
In order to find the number of real roots, we will calculate discriminant D.
D $= 1^{2} - 4 (- 3) (- 1) = 1 - 12 = - 11 < 0$
$∴$ given equation has no real roots.

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