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An equation of the form $ax^2 + bx + c = 0$, where $a \ne 0$, is called a quadratic equation.

The general form is $ax^2 + bx + c = 0$, where $a$, $b$, and $c$ are real numbers and $a \ne 0$.

The discriminant is $D=b^2-4ac$. It determines the nature of the roots.

If $D>0$, the equation has two distinct real roots.