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Unit 5 Algebra Investigations Notes 2.13: Use Square Roots to Solve Quadratic Equations Lesson 3: Solving Polynomials MM1A3a

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VOCABULARY Radicand- Perfect Square-

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(Ex 1) Solve quadratic equations Solve the equation. a)z 2 – 5 = 4 b)r 2 + 7 = 4

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(Ex 2) Take square root of a fraction Solve the equation 25k 2 = 9.

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Checkpoint 1) 3x^2=108 A.) 6 B.) 6, -6 C.) 36 D.) 36, -36

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CHECKPOINT 1)3x 2 = 108

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Checkpoint 2) t^2 + 17 = 17

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CHECKPOINT 2) t 2 + 17 = 17

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Checkpoint 3) 81p^2=4 A.) 4/81, -4/81 B.) 2/9 C.) 4/81 D.) -2/9, 2/9

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CHECKPOINT 3) 81p 2 = 4

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(Ex 3) Approximate solutions of a quadratic equation Solve 4x 2 + 3 = 23. Round the solutions to the nearest hundredth.

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Checkpoint 4) 2x^2-7=9 A.) 8, -8 B.) 2.83, -2.83 C.) 4, -4 D.) 3.81, -3.81

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CHECKPOINT 4)2x 2 – 7 = 9

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Checkpoint 5) 6g^2 + 1 = 19 A.) 3, -3 B.) 1.83, -1.83 C.) 1.73, -1.73 D.) 18, -18

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CHECKPOINT 5) 6g 2 + 1 = 19

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(Ex 4) Solve a quadratic equation Solve 5(x + 1) 2 = 30. Round the solutions to the nearest hundredth.

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Checkpoint 6) 3(m - 4)^2 = 12 A.) 2, -2 B.) 4, -4 C.) 2, 6 D.) 0, 8

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CHECKPOINT 6)3(m – 4) 2 = 12

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Checkpoint 7) 4(a - 3)^2 = 32 A.) 5.828, 0.172 B.) 2.828, -2.828 C.) 8, -8 D.) 5, 11

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CHECKPOINT 7) 4(a – 3) 2 = 32

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(Ex 5) Solve by squaring a radical

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Checkpoint 8)

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CHECKPOINT 8)

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Checkpoint 9)

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CHECKPOINT 9)

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ASSIGNMENT p. 121 #2-24 (even) p.148 #14, 16, 24

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