Discriminant of $$$900000000 = z^{2}$$$

The calculator will find the discriminant of the quadratic equation $$$900000000 = z^{2}$$$, with steps shown.

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Your Input

Find the discriminant of $$$900000000 = z^{2}$$$.

Solution

Rewrite the equation: $$$900000000 = z^{2}$$$ becomes $$$900000000 - z^{2} = 0$$$.

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

Our equation is $$$900000000 - z^{2} = 0$$$, so $$$a = -1$$$, $$$b = 0$$$, $$$c = 900000000$$$.

Thus, $$$D = 0^{2} - \left(4\right)\cdot \left(-1\right)\cdot \left(900000000\right) = 3600000000$$$.

Answer

The discriminant of $$$900000000 = z^{2}$$$A is $$$3600000000$$$A.