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Solving Radical Equations: Unit Fractions & Exponentials

Learn how to solve radical equations involving unit fractions and non-unit fractions in exponential form, checking for extraneous solutions. Practice exercises included.

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Solving Radical Equations: Unit Fractions & Exponentials

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  1. Lesson 11-3 Solving Radical Equations  Day 1

  2. Solving radical equations involving unit fractions • Change to radical form  • Get the radical(s) by itself • Raise each side to the same power as the root • Solve the remaining equation • Check for extraneous solutions

  3. Example

  4. Example

  5. Example

  6. You Try

  7. Example

  8. Example

  9. Solving radicals that are not unit fractions • Write in exponential form • Get exponential(s) on side by itself • Raise each side to the reciprocal (if the numerator or denominator it becomes an absolute value equation) • Solve the remaining equation • Check for extraneous solutions

  10. Example

  11. Example

  12. You try

  13. Homework • Pg. 564; • 1,2,5,8,9,10,13,14,16 and these two problems

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