Display Title
Definition--Equation Concepts--Roots of an Equation
Display Title
Definition--Equation Concepts--Roots of an Equation
Roots of an Equation
Topic
Equations
Definition
The roots of an equation are the values of the variable that satisfy the equation.
Description
The roots of an equation are the solutions that make the equation true. For example, the roots of the quadratic equation
x2 − 4x + 4 = 0
are x = 2 because substituting 2 into the equation satisfies it. Finding roots is a fundamental task in algebra.
In real-world applications, roots are used to determine points of intersection, optimize functions, and solve physical problems. Understanding how to find and interpret roots helps students solve equations and analyze mathematical models effectively.
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 • Expressions, Equations, and Inequalities • Applications of Equations and Inequalities |
| Copyright Year | 2014 |
| Keywords | equations, solving equations, definitions, glossary terms |
