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Interactive worksheet for completing the square and finding vertex of quadratic equations.

Completing the Square Interactive Worksheet with four quadratic equations to solve, each requiring completion of the square and identification of the vertex.

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ID: #243867

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Show Answer Key & Explanations Step-by-step solution for: How to Solve a Quadratic Equation by Completing the Square

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- x² - 6x + 9 - 9 - 3 = 0
- (x - 3)² - 12 = 0
- Vertex: (3, -12)

- x² + 18x + 81 - 81 - 21 = 0
- (x + 9)² - 102 = 0
- Vertex: (-9, -102)

- x² - 5x + 25/4 - 25/4 - 9 = 0
- (x - 5/2)² - 61/4 = 0
- Vertex: (5/2, -61/4)

- 2(x² + 4x) - 5 = 0
- 2(x² + 4x + 4 - 4) - 21 = 0
- 2(x + 2)² - 8 - 21 = 0
- 2(x + 2)² - 29 = 0
- Vertex: (-2, -29)

Parent Tip: Review the logic above to help your child master the concept of solving quadratic equations by completing the square worksheets.

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