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Algebra 2 5-4 Completing the Square. Solving with Square Roots.

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Presentation on theme: "Algebra 2 5-4 Completing the Square. Solving with Square Roots."— Presentation transcript:

1 Algebra 2 5-4 Completing the Square

2 Solving with Square Roots

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5 Completing the Square When one side of the equation is not a perfect square, the equation can be re- written to get a perfect square, and solved. The following relationship helps when completing the square.

6 Completing the Square - Example

7 Example

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9 Completing the Square - Practice

10 Completing the Square - Example

11 Example

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13 Completing the Square - Example

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15 Completing the Square - Practice

16 Completing the Square When the coefficient of the first term (a) is not one, divide all terms by a, then complete as before.

17 Completing the Square - Example

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19 Completing the Square - Practice

20 Vertex Form Use completing the square, to re-write quadratic equations in vertex form

21 Vertex Form - Example

22 Example

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24 Vertex Form - Example

25 Vertex Form - Practice

26 Homework Page 345 – 348 26 – 36 even, 44, 46, 57, 61, 95


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