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Completing The Square #3M Finding the EXACT ROOT
By Jeanmarie Mullen
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Last updated over 4 years ago
28 questions
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Objectives:
Solve for EXACT roots by completing the square.
Question 1
1.
List the first 12 perfect squares. NO spaces, commas in between each.
Question 2
2.
Simplify:
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Question 3
3.
Simplify:
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Question 4
4.
Simplify:
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Question 5
5.
Simplify:
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Question 6
6.
Simplify:
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Question 7
7.
Simplify:
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Question 8
8.
Express the solution(s) in simplest radical form. (Use the plus/minus key found on the math keyboard.)
(x - 5)
2
= 98
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Question 9
9.
Express the solution(s) in simplest radical form. (Use the plus/minus key found on the math keyboard.)
(x - 1)
2
= 45
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Question 10
10.
Express the solution(s) in simplest radical form. (Use the plus/minus key found on the math keyboard.)
(x + 8)
2
= 12
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Question 11
11.
Express the solution(s) in simplest radical form. (Use the plus/minus key found on the math keyboard.)
x
2
- 18x + 1 = 0
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Question 12
12.
Express the solution(s) in simplest radical form. (Use the plus/minus key found on the math keyboard.)
x
2
- 12x - 18 = 0
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Complete the rest for homework.
Question 13
13.
Express the solution(s) in simplest radical form. (Use the plus/minus key found on the math keyboard.)
(x + 2)
2
= 44
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Question 14
14.
Express the solution(s) in simplest radical form. (Use the plus/minus key found on the math keyboard.)
(x + 25)
2
= 75
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Question 15
15.
Express the solution(s) in simplest radical form. (Use the plus/minus key found on the math keyboard.)
(x + 1)
2
= 128
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Question 16
16.
Express the solution(s) in simplest radical form. (Use the plus/minus key found on the math keyboard.)
x
2
- 8x - 184 = 0
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Question 17
17.
Express the solution(s) in simplest radical form. (Use the plus/minus key found on the math keyboard.)
x
2
- 8x - 184 = 0
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Question 18
18.
Express the solution(s) in simplest radical form. (Use the plus/minus key found on the math keyboard.)
x
2
- 6x = 15
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Question 19
19.
The quadratic equation x
2
- 6x = 12 is rewritten in the form (x + p)
2
= q, where q is a constant. What is the value of p?
-12
-9
-3
9
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Question 20
20.
Which step can be used when solving x
2
- 6x - 25 = 0 by completing the square ?
x
2
- 6x + 9 = 25 + 9
x
2
- 6x - 9 = 25 - 9
x
2
- 6x + 36 = 25 + 36
x
2
- 6x - 36 = 25 - 36
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Question 21
21.
What are the roots of the equation x
2
+ 4x - 16 = 0
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Question 22
22.
The solution of the equation (x + 3)
2
= 7 is
Question 23
23.
Please upload pictures of your work if you didn't use the space provided.
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Question 24
24.
Please upload pictures of your work if you didn't use the space provided.
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Question 25
25.
Please upload pictures of your work if you didn't use the space provided.
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Question 26
26.
Please upload pictures of your work if you didn't use the space provided.
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Question 27
27.
Please upload pictures of your work if you didn't use the space provided.
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Question 28
28.
Please upload pictures of your work if you didn't use the space provided.
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