Completing the Square

Find the value of "c" that completes the square. k^2-18k+c

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

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

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41

• X= 35 or 47

• X = −6 + √41 or  −6 − √41

• X = √35 or √47

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

• the -4x

• the 9

• the x²

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

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

• 4

• 2

• 8

• 20

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

• 4

• 16

• 64

• -16

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

• 2

• 4

• -2

• 1