2025 Completing The Square Steps

A student was asked to solve the following quadratic by completing the square. The steps are shown below:

Given : x² -18x + 15 = 0

Step 1: x² -18x + 81 = -15 + 81

Step 2: ?

Which of the following steps below could be the student's step 2?

Tags

CCSS.HSA-REI.B.4B

Given the quadratic equation below

x² -10x = 12

Complete the steps provided below by dragging and dropping the correct numbers into the respective steps.

Step 1: x² -10x ​ (a)   = ​ (b)  

Step 2:​ ​ (c)   =​ (d)  

• +25
• 37
• 5
• 17
• 12+25
• 12 +5

Tags

CCSS.HSA-REI.B.4B

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4
• 2
• 8
• 20

Tags

CCSS.HSA-REI.B.4B

Complete the Square
x² + 6x = 5

• (x + 3)² = 5
• (x + 6)² = 9
• (x + 3)² = 14
• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

• Step 1

• Step 2

• Step 3

• Step 4.

Tags

CCSS.HSA-REI.B.4B

b

c

20

100

10

119

-10

81

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

• 4
• 16
• 64
• -16

Tags

CCSS.HSA-REI.B.4B

Find the missing value "c" to create a perfect square trinomial:
x² + 26x + ___ 

• 13
• 136
• 169
• 26

Tags

CCSS.HSA-REI.B.4B