Quadratic Equations

A quadratic equation is an algebraic expression where a variable is raised to the second power and combined with its first power and a constant; all equated to zero. These equations are frequently used to model relationships involving area, motion, and optimization. The general representation of a quadratic equation is

The quadratic equation helps solve problems involving area when a variable appears as a squared term.

Consider a rectangular garden with a perimeter of 26 meters and an area of 40 square meters. The goal is to find its dimensions.

Let one side be the variable, in meters, and express the other side in terms of that variable using the ...