# Discriminant Calculator

The calculator will find the discriminant of the given quadratic equation, with steps shown.

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Find the discriminant of $3 x^{2} - 4 x + 5 = 0$.

## Solution

The discriminant of the quadratic equation $a x^{2} + b x + c$ is $D = b^{2} - 4 a c$.

Our equation is $3 x^{2} - 4 x + 5 = 0$, so $a = 3$, $b = -4$, $c = 5$.

Thus, $D = \left(-4\right)^{2} - \left(4\right)\cdot \left(3\right)\cdot \left(5\right) = -44$.

The discriminant of $3 x^{2} - 4 x + 5 = 0$A is $-44$A.