Display Title
Definition--Equation Concepts--Quadratic Equation
Display Title
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 |
