Complete the Square Quadratic

Complete the square to find the value of c that makes x² + 16x + c a perfect square.

• -64

• 64

• 8

• 16

Complete the square to find the last term to make this a perfect square trinomial.

• -9

• 9

• 6

• -6

Complete the square for
x² + 12x + __c__

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

The following quadratic is going to be solved by completing the square. Which choice shows Step 2?

Problem : x² + 10x - 24 = 0

Step 1 : x² + 10x + __ = 24 + __

Step 2 : x² + 10x + 25 = 24+25

Step 3 : ​ ?

• x = −1 and 11

• x = 1 and −11

• x = −10 and 11

• x = −5 and 25

Which line contains a mathematical error when completing the square?

• Line 1

• Line 2

• Line 3

• Line 4

• There is no error

The work above shows the first two steps to solve by completing the square. Which description correctly describes the error that was made?

• They needed to add -1 to both sides.

• They needed to factor out the 2 so a = 1.

• They needed to take the square root of 4 first.

• They needed to add 4 to both sides.

Which line contains a mathematical error when completing the square?

• Line 1

• Line 2

• Line 3

• Line 4

• Line 5

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

• 13

• 136

• 169

• 26

Answer explanation

To create a perfect square trinomial, use the formula (b/2)^2. Here, b = 26, so (26/2)^2 = 13^2 = 169. Thus, the missing value 'c' is 169.