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