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Warm – Up 4.5 Factor the following. x 2 – 9 x + 2 0

Warm – Up 4.5 Factor the following. x 2 – 9 x + 2 0 . Algebra 3 Lesson 4.5 Objective: SSBAT solve radical equations. Standard: M11.D.2.1.1. Radical Equation An equation that has a variable in the radicand or has a variable with a rational exponent . Examples :.

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Warm – Up 4.5 Factor the following. x 2 – 9 x + 2 0

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  1. Warm – Up 4.5 • Factor the following. • x2–9x + 20

  2. Algebra 3 Lesson 4.5 Objective: SSBAT solve radical equations. Standard: M11.D.2.1.1

  3. Radical Equation • An equation that has a variable in the radicand or has a variable with a rational exponent. Examples: NOT a radical equation 

  4. Solving Radical Equations: ( • Isolate the radical - ( • 2. Raise BOTH sides of the equation to the index number • 3. Solve for the variable

  5. 1. Solve the equation.

  6. 2. Solve the equation. = 3

  7. 3. Solve the equation.

  8. When you raise an Expression to a power you have to check each answer to make sure it is not an extraneous solutions.

  9. 4. Solve the equation.

  10. 4. Continued * Check each in original problem * Answer: x = 7

  11. 5. Solve the equation.

  12. 5. Continued. * Check each in original problem * Answer: x = 13

  13. Solving radical equations with fractional exponents Isolate the expression raised to the fraction 2. Raise both sides to the reciprocal power 3. Solve for the variable

  14. Solve the equation. = 9 x – 2 = 27 x = 29

  15. Solve the equation. = 7 = 2x + 3 = 49 2x = 46 x = 23

  16. Solve the equation. = 4 = x + 6 = 32 x = 26

  17. Homework Worksheet 4.5

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