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Video Definition 7--Rationals and Radicals--Extraneous Solution

Video Definition 7--Rationals and Radicals--Extraneous Solution

Topic

Rationals and Radicals

Description

An extraneous solution is a false solution discarded during the solving process. For example, solving √(x + 1) = x - 5 gives x = 3 or x = 8, but x = 3 is extraneous as it does not satisfy the original equation. This concept highlights the need to verify solutions in equations involving radicals or rational expressions.

Understanding this video is essential for grasping the fundamentals of Rationals and Radicals. The mathematical concepts explored here form the basis for further exploration and application in related fields.

Teacher's Script: "Today, we will delve into an important concept that helps us simplify and solve complex problems in mathematics. This video introduces the concept of an extraneous solution and shows how it applies in various scenarios. Pay close attention to how the examples are worked out."

For a complete collection of videos related to Rationals and Radicals click on this link: Math Video Definitions: Rationals and Radicals Collection.

Common Core Standards CCSS.MATH.CONTENT.HSA.REI.A.2, CCSS.MATH.CONTENT.HSN.RN.A.1, CCSS.MATH.CONTENT.HSF.IF.C.7
Duration 1 minutes
Grade Range 8 - 12
Curriculum Nodes Algebra
    • Rational Expressions and Functions
        • Rational Functions and Equations
Copyright Year 2024
Keywords radicals, radical expressions, rational numbers, rational expressions, definitions, glossary term, rational functions