Quadratics Completing the Square

Solve: x² + 14x = 51

(just give the NEGATIVE answer)

Mathematical Equivalence

OFF

• + 49

• - 49

• + 36

• - 36

• + 6

• - 6

• + 7

• - 7

Solve: x² - 2x = 3

(just give the POSITIVE answer)

Mathematical Equivalence

OFF

What number would you add to both sides of this equation to complete the square?

• -8

• 16

• 64

• 256

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 + 4x - 1 = 0

• x = -2 ± √5

• x = -5 ± √2

• x = 2 ± √5

• x = -5 ± √5

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