Completing The Square Answers

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4

A student says that if 5x2 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.

Answer:

Disagree. Dividing both sides by 5 gives x² = 4. By the square root property, x = 2 or x = -2. Therefore, x could also be -2.

5

Compare your response with the sample response presented here. Did your explanation

A
mention the square root property?
B
say that x could also be –2?
6

Given (x – 7)2 = 36, select the values of x.

A
x = 13
B
x = 1
C
x = –29
D
x = 42
9

Now, write x² - 16x + 64 = -8 as (x - 8)² = -16✔ (x - 8)² = -8(x - 16)² = -16(x - 16)² = -8

A
(x - 8)² = -16
B
✔ (x - 8)² = -8
C
(x - 16)² = -16
D
(x - 16)² = -8
10

Solve x2 - 16x + 60 = -12 by completing the steps.

Answers:
Blank 1:8 + 2√2i
Blank 2:8 - 2√2i
17

Solve (t - 3)² = 6. The arrow is at a height of 48 ft after approximately s

Answers:
Solve (t - 3)² = 6. The arrow is at a height of 48 ft after approximately:0.55
and after:5.45
18

Given (x – 1)2 = 50, select the values of x.

A
x = –49
B
x = 51
C
Option
Option C
D
Option
Option D
19

=

Answer:

-13

20

–13 +

Answer:

9

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