Solving Quadratic Equations by Completing the Square
Objectives:
Solve for roots by completing the square.
Identify the vertex point when completing the square.
Solve Regents questions using this method
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Question 1
1.
What are the roots in the equation below?
Solve the equation by completing the square.
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1
Question 2
2.
What are the roots in the equation below?
Solve the equation by completing the square.
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1
Question 3
3.
What are the roots in the equation below?
Solve the equation by completing the square.
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1
Question 4
4.
What are the roots in the equation below?
Solve the equation by completing the square.
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1
Question 5
5.
What are the roots of the quadratic equation below?
Find the roots by completing the square. Round your answers to the nearest tenth.
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1
Question 6
6.
What are the roots in the equation below?
Solve the equation by completing the square.
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1
Question 7
7.
What are the roots in the equation below?
Solve the equation by completing the square.
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1
Question 8
8.
What are the roots of the quadratic equation below?
Find the roots by completing the square. Round your answers to the nearest tenth.
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1
Question 9
9.
Which equation has the same solution as x2 + 6x - 7 = 0
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Question 10
10.
What are the solutions to the equation 3(x - 4)2 = 27
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Question 11
11.
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Question 12
12.
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Question 13
13.
If Lylah completes the square for f(x) = x2 - 12x + 7 in order to find the minimum, she must write f(x) in the general form f(x) = (x - a)2 + b. What is the value of a for f(x) ?
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Question 14
14.
Which equation and ordered pair represents the correct vertex form and vertex for j(x) = x2 - 12x + 7 ?
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Question 15
15.
Which equation is equivalent to y = x2 + 24x - 18 ?
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Question 16
16.
Please upload your work if you didn't use the space provided.
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Question 17
17.
Please upload your work if you didn't use the space provided.
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Question 18
18.
Please upload your work if you didn't use the space provided.
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Question 19
19.
Please upload your work if you didn't use the space provided.
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Question 20
20.
Please upload your work if you didn't use the space provided.