Display Title
Video Definition 7--Rationals and Radicals--Extraneous Solution
Display Title
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 |
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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 |