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11.5 Solving Radical Equations

11.5 Solving Radical Equations. Algebra 2.0. Main Idea & Vocabulary. A radical equation is an equation that contains a radical with a variable. We will use our solving skills, inverse operations and the property below in this lesson. Tips. Always get the radical symbol alone

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11.5 Solving Radical Equations

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  1. 11.5 Solving Radical Equations Algebra 2.0

  2. Main Idea & Vocabulary • A radical equation is an equation that contains a radical with a variable. • We will use our solving skills, inverse operations and the property below in this lesson.

  3. Tips • Always get the radical symbol alone • Square both sides • Do inverse operations • Check for extraneous solutions

  4. Ex 1-Solving Simple Radical Equations

  5. Practice 1

  6. Ex 2-Solving Radical Equations byAddition or Subtraction

  7. Ex 2-Solving Radical Equations byAddition or Subtraction

  8. Practice 2

  9. Ex 3-Solving Radical Equations byMultiplication or Division

  10. Practice 3

  11. Ex 4-Solving Radical Equations with Square Roots on Both Sides.

  12. Practice 4

  13. Ex 5-Extraneous Solutions • Squaring both sides of an equation can lead to extraneous solutions.

  14. Practice 5

  15. Ex 6-Geometry Application • Draw a picture, if necessary. • Use a formula from 7th grade • Solve with Algebra skills

  16. Practice 6

  17. Review • How do you solve a radical equation with square roots on both sides? • What type of solutions must we look out for when squaring both sides of a radical equation? • How do we know if our solutions are extraneous?

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