## discriminantA quantity that gives valuable information about the solutions of an equation. In the case of a quadratic equation ax^{2}
+ bx + c = 0, the discriminant is given by d
= b^{2} - 4ac. If d > 0, the roots of
the equation are two different real numbers;
if d = 0, the roots are real and equal; if d < 0, the
roots are complex numbers. The concept
of discriminant can also be applied in the case of polynomials,
elliptic curves, and metrics.
## Related category• ALGEBRA | |||||

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