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Section 4.7 – The Quadratic Formula Students will be able to: To solve equations using the Quadratic Formula To determine the number of solutions by using the discriminant Lesson Vocabulary: Quadratic Formula Discriminant

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Section 4.7 – The Quadratic Formula Essential Understanding: You can solve a quadratic equation ax 2 +bx + c = 0 is completing the square and factoring.

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Section 4.7 – The Quadratic Formula

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Problem 1: What are the solutions? Use the Quadratic Formula. 2x 2 – x = 4

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Section 4.7 – The Quadratic Formula Problem 1b: What are the solutions? Use the Quadratic Formula. x 2 + 6x +9 = 0

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Section 4.7 – The Quadratic Formula Problem 1c: What are the solutions? Use the Quadratic Formula. x 2 + 4x = -4

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Section 4.7 – The Quadratic Formula Problem 1d: What are the solutions? Use the Quadratic Formula. x 2 + 4x - 3 =0

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Section 4.7 – The Quadratic Formula Problem 2:

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Section 4.7 – The Quadratic Formula

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Problem 3: What is the number of real solutions of -2x 2 – 3x + 5 = 0?

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Section 4.7 – The Quadratic Formula Problem 3b: What is the number of real solutions of 2x 2 – 3x + 5 = 0?

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Section 4.7 – The Quadratic Formula Problem 3c: What is the number of real solutions of x 2 = 6x +5?

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Section 4.7 – The Quadratic Formula Problem 3d: Without graphing, determine how many x-intercepts each function has y = 3x 2 -10x + 6?

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Section 4.7 – The Quadratic Formula Problem 3e: Without graphing, determine how many x-intercepts each function has y = x 2 +17x – 2 ?

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Section 4.7 – The Quadratic Formula Problem 4:

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Section 4.7 – The Quadratic Formula Problem 4b:

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Section 4.7 – The Quadratic Formula Problem 4c:

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Section 4.7 – The Quadratic Formula Problem 5: Solve: |5 – 2x 2 | = 5

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Section 4.7 – The Quadratic Formula Problem 5b: Solve: | x 2 +4x +3| = 8

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Section 4.7 – The Quadratic Formula Lesson Check:

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Section 4.7 – The Quadratic Formula Lesson Check:

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