Display Title
Definition--Quadratics Concepts--Quadratic Equation
Display Title
Quadratic Equation
Topic
Quadratics Concepts
Definition
A quadratic equation is a polynomial equation of degree two, typically in the form
ax2 + bx + c = 0
where a, b, and c are constants and a ≠ 0.
Description
Quadratic equations are fundamental in algebra and appear in various real-world contexts, such as physics, engineering, and economics. They describe parabolic patterns and are used to model situations where relationships between variables are not linear. For instance, the path of a projectile under gravity follows a quadratic equation. In math education, quadratic equations are essential for teaching students about polynomial functions, graphing techniques, and solution methods such as factoring, completing the square, and using the quadratic formula. Understanding quadratic equations enables students to explore the properties of parabolas, including their vertices, axes of symmetry, and intercepts.
An example of solving a quadratic equation is finding the roots of
x2 − 4x + 3 = 0
which can be factored into(x − 1)(x − 3) = 0, yielding solutions x = 1 and x = 3.
For a complete collection of terms related to Quadratic Expressions, Functions, and Equations click on this link: Quadratics Collection
| Common Core Standards | CCSS.MATH.CONTENT.HSN.CN.C.7, CCSS.MATH.CONTENT.HSA.SSE.B.3.B, CCSS.MATH.CONTENT.HSA.REI.B.4.A, CCSS.MATH.CONTENT.HSF.IF.C.8.A |
|---|---|
| Grade Range | 6 - 10 |
| Curriculum Nodes |
Algebra • Quadratic Functions and Equations • Quadratic Equations and Functions |
| Copyright Year | 2013 |
| Keywords | quadratic functions, quadratic equations, quadratic formula, definitions, glossary terms |
