Solving Quadratics Completing the Square

(2x - 4)² = 16

• x = 4

• x = 10

• x = -2

• x = 0, 4

x²−6x+2=0

• 6±√7

• 3±√7

• 3±√11

• 6±√11

Solve: x² - 2x = 3

(just give the POSITIVE answer)

Mathematical Equivalence

OFF

Complete the Square
x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

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 + 10x + 18 = 0

• x = -5 ± √7

• x = 5 ± √7

• x = 7 ± √5

• x = -7 ± √5

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

x² - 10x - 5 = 0

• x = -5 ± √30

• x = 5 ± √30

• x = 30 ± √5

• x = -30 ± √5

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

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

x² - 4x - 1 = 0

• x = -2 ± √5

• x = -5 ± √2

• x = 2 ± √5

• x = 5 ± √5