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Chapter 5: Problem 4

Fill in the blanks. A solution of an equation that does not satisfy the original equation is called an ________ solution.

Short Answer

Expert verified
Extraneous

Step by step solution

01

Understanding the definition

An equation is a statement that the values of two mathematical expressions are equal, indicated by the sign =. When we're trying to solve this equation, we substitute a possible solution into the equation, and if it makes the equation true, then it is termed as a 'valid' solution. However, if it doesn't satisfy the equation or doesn't make it true, it is called an 'invalid' solution.
02

Identifying the term

A solution of an equation that does not satisfy the original equation is called an extraneous solution.

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