Completing the Square

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

What do you do to the b value to correctly complete the square?

• square it

• divide it by 2 and square the result

• divide it by 2 and take the square root of the result

• divide it by 2 only

• Divide 18 by 2, then square that number and add it to both sides of the equation

• Square 18 and then add it both sides of the equation

• It already is a perfect square

• Subtract 18x from both sides and then divide both sides by x to find the answer

Create a Perfect Square Trinomial
x² - 30x +  ____

• -15

• 225

• 30

• 25

The quadratic shown is going to be solved by completing the square, the first step is shown Problem: x² + 6x = 5 Step 1: x² + 6x + ​ (a)   = ​ (b)   What are the missing values?

• 9

• 14

• 6

• 5

• -6

• -9

• 3

• 8

• 12

Solve the following quadratics equation by completing the square

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Mathematical Equivalence

ON

Kevin wants to solve the equation by completing the square. What values complete the equation?

• 8

• 64

• 16

• 4

• 256

• +2

• -2

• +4

• -4

• +8

• -8

• +20

• -20

Match the following quadratic equations with the correct step when completing the square.