Completing The Square

Question 1

Which of the following expressions are perfect-square trinomials? Check all of the boxes that apply.

Revolt · Accepted Answer

4x2 +12x + 9; x2 + 20x + 100

Question 2

x² - 5x + 5/25/4✔ 25/4

Revolt · Accepted Answer

✔ 25/4

Question 3

x² + ✔ 1477/2 x + 49

Revolt · Accepted Answer

✔ 14

Question 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.

Revolt · Accepted 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.

Question 5

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

Revolt · Accepted Answer

mention the square root property?; say that x could also be –2?

Question 6

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

Revolt · Accepted Answer

x = 13; x = 1

Question 7

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

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-03-07-20-04-task/mr002-1.jpg; Answer image: //media.edgenuity.com/EVresources/3111-03-07-20-04-task/mr002-2.jpg

Question 8

Next, add to each side of the equation to complete the square.

Revolt · Accepted Answer

64

Question 9

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

Revolt · Accepted Answer

✔ (x - 8)² = -8

Question 10

.

Revolt · Accepted Answer

2

Completing The Square Answers

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