Quadratic Equation: Quadratic Formula

A quadratic equation is a polynomial equation of the second degree, meaning it contains at least one term in which the unknown variable is squared. Its standard form is:

$$ax^2 + bx + c = 0$$

where $x$ represents an unknown, and $a, b, c$ are coefficients with $a \neq 0$.

The quadratic formula is used to find the solutions (roots) for $x$ in a quadratic equation. It is given by:

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

Here, $a$, $b$, and $c$ are the coefficients from the standard form of the quadratic equation.