Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 6b - Rational Exponents and Radical Functions Mini-Lesson To solve SIMPLE radical equations algebraically (also called symbolically): Isolate the radical part of the equation on one side and anything else on the other Sometimes you will have radicals on both sides. That is ok. Raise both sides of the equation to a power that will “undo” the radical (2 power to get rid of square root, 3 power to get rid of cubed root, etc…) Solve for x. Be sure x is part of the domain for the radical part of your equation by checking your result in the original. Check your work using the graphing method if possible. Problem 10 WORKED EXAMPLE – SOLVE RADICAL EQUATIONS ALGEBRAICALLY Solve the equation 10 3x 4 algebraically. First, square both sides to remove the square root. 10 3x 4 10 3x 2 4 2 10 3x 16 Next, isolate x. 10 3x 16 3x 6 x 2 VERY IMPORTANT! Check x = –2 in the original equation to be sure it works! Not all solutions obtained using the process above will check properly in your equation. If an x does not check, then it is not a solution. 10 3( 2) 4 x = –2 is the solution to this equation. 10 6 4 16 4 4 4 Scottsdale Community College Page 272 Intermediate Algebra
Lesson 6b - Rational Exponents and Radical Functions Mini-Lesson Problem 11 MEDIA EXAMPLE – SOLVE RADICAL EQUATIONS ALGEBRAICALLY Solve 41 5 2x 4 11 algebraically. Problem 12 YOU TRY – SOLVE RADICAL EQUATIONS GRAPHICALLY/ALGEBRAICALLY a) Solve the equation algebraically and graphically: 3 4 x 7 20. Be sure to check your final result! b) Solve the equation algebraically and graphically: 2 5x 24 4 . Be sure to check your final result! Scottsdale Community College Page 273 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 1b - Linear Equations In the
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Lesson 1b - Linear Equations Mini-L
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Lesson 4b - More on Logarithms This
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Intermediate Algebra – Student Workbook – Second Edition 2013

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