Definition--Equation Concepts--Quadratic Equation
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Algebra >> Quadratic Functions and Equations >> Quadratic Equations and Functions

Definition--Equation Concepts--Quadratic Equation

Quadratic Equation

Quadratic Equation

Topic

Equations

Definition

A quadratic equation is a polynomial equation of degree 2, typically in the form ax2 + bx + c = 0.

Description

Quadratic equations are fundamental in algebra and involve variables raised to the second power. For example, the equation 

x2 − 4x + 4 = 0 

is quadratic. These equations can be solved using methods such as factoring, completing the square, and the quadratic formula.

In real-world applications, quadratic equations are used to model parabolic trajectories, optimize areas, and solve problems in physics and engineering. Understanding quadratic equations helps students analyze and solve problems involving quadratic relationships.

For a complete collection of terms related to functions and relations click on this link: Functions and Relations Collection

Common Core Standards CCSS.MATH.CONTENT.6.EE.B.5, CCSS.MATH.CONTENT.7.EE.B.4, CCSS.MATH.CONTENT.HSA.REI.A.1
Grade Range 6 - 12
Curriculum Nodes Algebra
    • Quadratic Functions and Equations
        • Quadratic Equations and Functions
Copyright Year 2021
Keywords equations, solving equations, definitions, glossary terms