Conditional Equation

Topic

Equations

Definition

A conditional equation is true only for specific values of the variable(s).

Description

Conditional equations are equations that hold true only under certain conditions or for specific variable values. For example, the equation 

x² = 4 

is true only when x = 2 or x = −2. These equations contrast with identities, which are true for all variable values.

In real-world scenarios, conditional equations are used in fields like physics and engineering to model situations with specific constraints. Understanding conditional equations helps students grasp the concept of solutions and the conditions under which equations hold true.

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