Solving Equations 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

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

x² - 6x + 2 = 0

• x = -3 ± √7

• x = 3 ± √7

• x = 7 ± √3

• x = -7 ± √3

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

x² + 12x + 10 = 0

• x = -6 ± √26

• x = 6 ± √26

• x = 26 ± √6

• x = -26 ± √6

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

x² - 12x + 31 = 0

• x = -6 ± √5

• x = 6 ± √5

• x = 5 ± √6

• x = -5 ± √6

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

x² + 2x - 5 = 0

• x = -1 ± √6

• x = 1 ± √6

• x = 6 ± √1

• x = -6 ± √1

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

x² + 2x - 10 = 0

• x = -1 ± √11

• x = 1 ± √11

• x = 11 ± √1

• x = -11 ± √1

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

x² - 20x + 98 = 0

• x = -10 ± √2

• x = 10 ± √2

• x = 2 ± √10

• x = -2 ± √10

Complete the Square
x² + 6x = 5

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

What do you need to add to complete the square?x² + 6x = 20

• 9
• 100
• 36
• 12

Solve the equation: 
5x² - 35x + 60 = 0

• x = 3,  -4
• x = -3,  4
• x = 3,  4
• x = -3,  -4