Definition--Equation Concepts--Roots of an Equation
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Algebra >> Expressions, Equations, and Inequalities >> Applications of Equations and Inequalities

Definition--Equation Concepts--Roots of an Equation

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