Completing The Square Answers

26 verified answers2 views
8

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:

I disagree with the student. While 2 is a solution, it is not the only possible value for x. Dividing both sides of the equation 5x^2 = 20 by 5 results in x^2 = 4. According to the square root property, taking the square root of both sides gives x = 2 or x = -2. Therefore, x could be -2 as well.

11

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
14

Write the equation so that

Answers:
Blank 1:-6
Blank 2:-13
16

Question text not available

Answers:
Blank 1:9
Blank 2:9
20

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?
22

=

Answer:

-13

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