Completing the Square

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

k² − 12k + 23 = 0

Mathematical Equivalence

ON

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

• 8

• 64

• 16

• 4

• 256

What is the 1^st step in solving a Quadratic Equation using Completing the Square

• Divide b by 2

• Square root both sides

• Make sure the equation equals 0

• Get the variable terms on one side by themselves

What value of c would make this a perfect square trinomial?
x² + 2x + c

• 2

• 4

• -2

• 1

Find the value of "c" that completes the square.

• 28

• 14

• 196

• 56

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

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

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x

• the 9

• the x²

Complete the Square
x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Complete the square.
x² + 6x + ____

• x² + 6x + 9

• x² + 6x - 36

• x² + 6x + 36

• x² + 6x - 9