Quadratics Complete the Square

Solve each equation by completing the square: x² - 8x -12 = 0

• X = -2 + 2√7 or  −2 − 2√7

• X= 2√7 or  − 2√7

• X = −4 + 2√7 or  −4 − 2√7

• X = 4 + 2√7 or  4 − 2√7

What is the first step to solving THIS equation by completing the square?
v² +  8v - 84 = 0

• Set the equation equal to 0.

• Add v² and 8v together.

• Add 84 on both sides.

• Divide every term by 1.

What is the second step to solving THIS equation by completing the square?
v² +  8v - 84 = 0

• Divide the 2nd term by 2 and take the square root of it.

• Add v² and 8v together.

• Add 84 on both sides.

• Divide the 2nd term by 2 and square it. 

Solve each equation by completing the square: x² - 12x - 45 = 0

• X = -3 or 15

• X= 3 or -15

• X = -6 or 6

• X = -9 or 9

• A
• B
• C
• D

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Write the following quadratic expression in completed square form... x² + 4x + 10

• (x + 4)² + 6

• (x + 2)² + 6

• (x + 4)² - 6

• (x + 2)² - 6

Match the following. Which number completes the square for each quadratic.

• 81

• 4

• 100

• 36

• 25

What number makes this a perfect square? x² - 6x

Mathematical Equivalence

OFF

Solve each equation by completing the square: 9x² + 18x - 72 = 0

• X = -3 or 7

• X= -2 or 4

• X = -4 or 2

• X = -7 or 3