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Do Now 6/4/19

Learn how to solve radical equations step-by-step with clear examples to master key concepts. Practice problems included.

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Do Now 6/4/19

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  1. Do Now 6/4/19 • Copy HW in your planner. • Text p. 564, #4-20 multiples of 4, #28-34 evens, #38-44 evens, #50-56 evens • Review Packet #1-37 all • Chapter 10 Test, Friday 6/7 • Trimester Benchmark Test Chapters 8-10, Wednesday 6/12 • With your partner, complete Explorations 1 & 2 in Student Journal for Section 10.3 on page 317.

  2. Essential QuestionHow can you solve an equation with a square root in it? • With your partner, complete Explorations 1 & 2 in Student Journal for Section 10.3 on page 317.

  3. Learning Goal SWBAT simplify, graph, and define characteristics, and solve radical functions Learning Target SWBAT use properties of radicals to solve radical functions

  4. Section 10.3 “Solve Radical Equations” • An equation that contains a radical expression with a variable in the radicand is called a radical equation. • To solve a radical equation, you need to ISOLATE the radical on one side and then square both sides of the equation. If then If then

  5. EXAMPLE 1 Solve a Radical Equation What if???? Add 8 to each side. Divide each side by 2. Square each side, to get rid of the radical. No Real Solutions Simplify. Check solution. 0 = 0

  6. EXAMPLE 1 Try It Out Add 3 to each side. Divide each side by 12. Square each side, to get rid of the radical. Simplify. Check solution. 0 = 0

  7. EXAMPLE 2 Solve a Radical Equation Subtract 12 from each side. Divide each side by 4. Square each side, to get rid of the radical. Solve for x. Add 7 to both sides. Simplify Check. 28 = 28

  8. EXAMPLE 2 Try It Out… Subtract 7 from each side. Square each side, to get rid of the radical. Solve for x. Add 5 to both sides. Simplify Check. 12 = 12

  9. EXAMPLE 3 Solve a Radical Equation Square each side, to get rid of the radical. Solve for x. Simplify Check.

  10. EXAMPLE 3 Solve a Radical Equation Add radical 2x -1 to both sides, to isolate radicals. Square each side, to get rid of the radical. Solve for x. Simplify Check. 0 =0

  11. EXAMPLE 4 Solve a Radical Equation Involving a Cube Root Cube each side, to get rid of the radical. Solve for x. Check. 12 = 12

  12. EXAMPLE 4 Try It Out… Add 4 to each side. Cube each side, to get rid of the radical. Check. 1 = 1

  13. EXAMPLE 5 Solve a Radical Equation Check. Square each side, to get rid of the radical. Simplify Simplify Squaring both sides of the equation can result in a solution that is NOT true in the original equation. Such a solution is called an EXTRANEOUS SOLUTION. Factor. Solve for x.

  14. EXAMPLE 5 Solve a Radical Equation Check. Square each side, to get rid of the radical. Simplify Simplify Factor. Solve for x. Squaring both sides of the equation can result in a solution that is NOT true in the original equation. Such a solution is called an EXTRANEOUS SOLUTION.

  15. HomeworkText p. 564, #4-20 multiples of 4, #28-34 evens, #38-44 evens, #50-56 evens

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