Discriminant

For quadratic equation $ax^2+bx+c=0$, where $a$, $b$ and $c$ are real numbers.

The discriminant of a quadratic equation is defined by
\begin{equation*}
\Delta = b^2-4ac
\end{equation*}
Properties

1. If $\Delta >0$, the equation has two distinct real roots.
2. If $\Delta = 0$, the equation has two equal real roots.
3. If $\Delta < 0$, the equation has no real roots.

Same Topic:

Quadratic Formula Remainder Theorem The Sum and the Product of the Roots Vertex Form of Quadratic Function