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12.7 Radical Equations

This assignment focuses on solving radical equations, a key topic in algebra. Students will complete exercises from the textbook on pages 503, specifically problems numbered 5-35. Students will also learn about geometric means, specifically finding two numbers with a given geometric mean. For additional practice, students are encouraged to work through examples and check their solutions. Reminders include upcoming tests and review sessions, ensuring students are prepared for assessments following Spring Break.

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12.7 Radical Equations

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  1. 12.7 Radical Equations CORD Math Mrs. Spitz Spring 2007

  2. Objectives • Solve radical equations Assignment • pg. 503 #5-35 all

  3. Ex. 1: Solve

  4. Ex. 1: Solve

  5. CHECK YOUR WORK!

  6. Ex. 2: #30

  7. Ex. 2: #30

  8. Ex. 3: #34

  9. Ex. 3: #34

  10. Ex. 4: #28

  11. Ex. 4: #28

  12. Ex. 5 – Geometric Mean • The geometric mean of two numbers is a square root of their product. Thus, the geometric mean of numbers a and b is ±√ab. Find two numbers that have a geometric mean of 6 given that one number is 5 more than the other.

  13. Explore, Plan Let x = the lesser number, then let x + 5 = the greater number.

  14. Ex. 5 -- SOLVE

  15. Ex. 5 -- SOLVE If x = -9, then x +5 = -4, then x + 5 = 9. Thus the number s are -9 and -4, or 4 and 9.

  16. CHECK YOUR WORK!!!

  17. Reminders • 12.8 and the Chapter 12 review on your return the week we come back from Spring Break. Test will be on Thursday when we return; so you will also have a binder grade on that date. • Testing for MAPS will take place within the next 3 weeks.

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