chapter 5 sec 8 radical equations. 2 of 7 chapter 5 sec 8: radical equations solve radical equations...
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Chapter 5 Sec 8Chapter 5 Sec 8Chapter 5 Sec 8Chapter 5 Sec 8
Radical Radical EquationsEquations
Radical Radical EquationsEquations
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Chapter 5 Sec 8: Radical EquationsChapter 5 Sec 8: Radical Equations
Solve Radical Equations Solve Radical Equations Solve Radical Equations Solve Radical Equations Equations with radical that have variables in the radicand Equations with radical that have variables in the radicand are called are called radical equationsradical equations. To solve radical equations, . To solve radical equations, complete the following steps:complete the following steps:
Step 1: Isolate the radical, if there are more than one Step 1: Isolate the radical, if there are more than one radicals in the equation pick one and isolate. radicals in the equation pick one and isolate. (get the radical by (get the radical by
itself on one side of the equation)itself on one side of the equation)
Step 2: Raise each side of the equation to a power equal to Step 2: Raise each side of the equation to a power equal to the index of the radical.the index of the radical.
Step 3: Test your answer for Step 3: Test your answer for extraneous solutionsextraneous solutions. .
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Chapter 5 Sec 8: Radical EquationsChapter 5 Sec 8: Radical Equations
Solve a Radical EquationsSolve a Radical EquationsSolve a Radical EquationsSolve a Radical Equations
Solve x 1 2 4
x 14
x 1 2 2 4 2
x 1 2
x 1 222
x 3
Check your Check your SolutionSolution
x 1 2 4
31 2 4
4 2 4
2 2 4
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Chapter 5 Sec 8: Radical EquationsChapter 5 Sec 8: Radical Equations
Extraneous SolutionExtraneous SolutionExtraneous SolutionExtraneous Solution
Solve x 15 3 x
24 6 x
22315 xx
x 15 9 6 x x
4 x
x 9 9 x
– – 6 – 6 6 – 6
4 2 x 2
16 x
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Chapter 5 Sec 8: Radical EquationsChapter 5 Sec 8: Radical Equations
Extraneous SolutionExtraneous SolutionExtraneous SolutionExtraneous Solution
Check your SolutionCheck your Solution
x 15 3 x
16 15 3 16
1 3 4
1 1 The solution does The solution does not check, so the not check, so the
equation has no real equation has no real solution.solution.
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Chapter 5 Sec 8: Radical EquationsChapter 5 Sec 8: Radical Equations
Cube Root EquationCube Root EquationCube Root EquationCube Root Equation
Solve 6n - 5 1
3 3 2
6n 5 1
3 5
6n 5 1
3
3
5 3
6n 5 125
6n 120
n 20
Check your Check your SolutionSolution
6n 5 1
3 3 2
6 20 5 1
3 3 2
120 5 1
3 3 2
235
23125 3
1
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Chapter 5 Sec 8: Radical EquationsChapter 5 Sec 8: Radical Equations
Daily AssignmentDaily AssignmentDaily AssignmentDaily Assignment
• Class-work for Ch 5 Section 8Class-work for Ch 5 Section 8– Study Guide (SG)Study Guide (SG)
• Pg 67 AllPg 67 All
• Class-work for Ch 5 Section 8Class-work for Ch 5 Section 8– Study Guide (SG)Study Guide (SG)
• Pg 67 AllPg 67 All