Solving Quadratics by Completing the Square

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

Complete the Square
x² + 6x = 5

• (x + 3)² = 5
• (x + 6)² = 9
• (x + 3)² = 14
• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B

Complete the square.
x² + 14x + ____

• x² + 14x - 196
• x² + 14x + 49
• x² + 14x - 49
• x² + 14x + 196

Tags

CCSS.HSA-REI.B.4B

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3 and-1}
• {4 and -4}
• {5 and -3}
• {8 and -7}

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
y² + 10y = -9

• 1 and -12
• -1 and -9
• 1 and -9
• 1 and -1

Tags

CCSS.HSA-REI.B.4B

Complete the Square and solve the equation.
r² - 4r = 30

• 2 ± √ 34
• ± √ 34
•  34
• ± 2

Tags

CCSS.HSA-REI.B.4B

Complete the Square and solve the equation.
m² - 16m = -59

• 8
• 8 ± √ 5
•  ± √ 13
• -8 ± √ 5

Tags

CCSS.HSA-REI.B.4B