Discriminant of $$$0 = 2 x^{2} + x - 3$$$

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

The discriminant of the quadratic equation $$$a x^{2} + b x + c = 0$$$ is $$$D = b^{2} - 4 a c$$$.

Our equation is $$$2 x^{2} + x - 3 = 0$$$, so $$$a = 2$$$, $$$b = 1$$$, $$$c = -3$$$.

Thus, $$$D = 1^{2} - \left(4\right)\cdot \left(2\right)\cdot \left(-3\right) = 25$$$.

The discriminant of $$$0 = 2 x^{2} + x - 3$$$A is $$$25$$$A.