Complete the Square When a Is Not 1

How do I find the "MAGIC Number" when completing the square?

• Move c to the other side

• b value divide by 2 and square 

• Make 2 equations, one = + and one = -

• Square root both sides

What should be added to both sides of the following equation to complete the square?
x² + 12x = 5

• 12

• 6

• 36

• 5

Complete the square but do not solve.

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

• 8

• 64

• 16

• 4

• 256

Solve the equation by completing the square:

Mathematical Equivalence

ON

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 by completing the square. Write the answer as #+-square root.

x^2+4x-16=0

Mathematical Equivalence

ON

Mathematical Equivalence

ON

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

Solve the following quadratics equation by completing the square (a)  

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2