Worksheet for solving quadratic equations by completing the square, divided into sections with varying difficulty levels and an extension challenge.

Worksheet titled "Solving Quadratic Equations (D) by Completing the Square" with sections A, B, and C, featuring equations to solve by completing the square, and an extension section with advanced problems. Includes a cartoon character and the Cazoom logo.

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ID: #243738

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Show Answer Key & Explanations Step-by-step solution for: Completing the Square Practice Worksheet

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Final Answer:
Section A:
1) $ x = -4,\ -10 $
2) $ x = 9,\ -1 $
3) $ x = -1,\ -9 $
4) $ x = 2,\ -10 $

Section B:
1) $ x = -10,\ 6 $
2) $ x = -21,\ 3 $
3) $ x = 3 \pm 2\sqrt{3} $
4) $ x = \frac{1 \pm \sqrt{29}}{2} $
5) $ x = -6 \pm 2\sqrt{14} $
6) $ x = 16 \pm \sqrt{211} $
7) $ x = \frac{-3 \pm \sqrt{105}}{2} $
8) $ x = \frac{5 \pm \sqrt{41}}{2} $

Section C:
1) $ x \approx 2.2,\ -4.2 $
2) $ x \approx 0.6,\ -4.6 $
3) $ x \approx 3.7,\ 0.3 $
4) $ x \approx 1.2,\ -4.2 $
5) $ x \approx 1.2,\ -0.2 $
6) $ x \approx 2.1,\ -0.6 $

Extension A: $ a = -8 $, $ b = 2 $

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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