# Quadratic Equation

## The Quadratic Formula

The quadratic equation is represented as:

\[ ax^2 + bx + c = 0 \]

The solutions for the variable \( x \) can be calculated using the quadratic formula:

\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]

## Discriminant

The discriminant of a quadratic equation is given by:

\[ \Delta = b^2 - 4ac \]