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Comprehensive worksheet designed to help students master solving quadratic equations by completing the square.

Math worksheet for solving quadratic equations by completing the square with sections for surd form and decimals.

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Show Answer Key & Explanations Step-by-step solution for: Solving Quadratic Equations (D) (by Completing the Square ...

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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 = -2 ± √34
2) x = -9 ± √102
3) x = 3 ± 2√3
4) x = 0.5 ± √29/2
5) x = -6 ± √61
6) x = 16 ± √211
7) x = -1.5 ± √30.25
8) x = 2.5 ± √10.25

Section C:
1) x ≈ 2.2, -4.2
2) x ≈ 0.5, -4.5
3) x ≈ 3.6, 0.4
4) x ≈ 1.3, -3.8
5) x ≈ 1.2, -0.2
6) x ≈ 2.2, -0.7

Extension A: a = -8, b = 5
Extension B: Proof shown in steps (not required for answer).

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

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(view all quadratic equations completing the square worksheet)