Quadratic Formula

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

Description

Solves quadratic equations of the form ax² + bx + c = 0.

Variables

Symbol	Meaning
`a`	Coefficient of x²
`b`	Coefficient of x
`c`	Constant term

Example

Problem

Solve 2x² + 5x - 3 = 0

Solution

x = (-5 ± √49)/4 = 0.5 or -3

Real-World Applications

Physics projectile motion
Engineering optimization
Economics