Algebra 2 7.6 Notes - 7.6 Solving Radical Equations Goals p...

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Solving Radical Equations Goals p Solve equations that contain radicals. p Use radical equations to solve real-life problems. 7.6 VOCABULARY Extraneous solution A solution of a transformed equation that is not a valid solution of the original equation Your Notes Solve 3 ± x ² ± 4 ²± 3. ± 3 x ² ± 4 3 Write original equation. ± 3 x ² ² 1 Isolate radical. ( ± 3 x ² ) 3 ² 1 3 Cube each side. x ² 1 Simplify. The solution is 1 . Check this in the original equation. Example 1 Solving a Simple Radical Equation Solve ± x 2/3 49. ± x 2/3 49 Write original equation. x 2/3 ² 49 Isolate radical. ( x 2/3 ) 3/2 ² 49 3/2 Raise each side to ³ 3 2 ³ power. x ² (49 1/2 ) 3 Apply properties of roots. x ² 7 3 ² 343 Simplify. The solution is 343 . Check this in the original equation. Example 2 Solving an Equation with Rational Exponents 168 Algebra 2 Notetaking Guide • Chapter 7
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Your Notes Solve ± 3 x ± 4 ² ² 1 ³ 7. Solution ± 3 x ± 4 ² ² 1 ³ 7 Write original equation.
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Algebra 2 7.6 Notes - 7.6 Solving Radical Equations Goals p...

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