Solving Quadratics by Completing the Square

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4
• 2
• 8
• 20

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

• {-2, -5}

• {2, -4}

• {4, -4}

• {-2, 4}

Solve by completing the square. 
 x² − 10x - 11= 0

• x = −1 and 11
• x = 1 and −11
• x = −10 and 11
• x = −5 and 25

What do you do to the "b" value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

• x = 3 and -4

• x = -3 and 4

• x = 3 and 4

• x = -3 and -4

Solve the system of equations to find the value of y.

• -2

• 3

• -3

• 2

Solve the system of equations using Matrices:

y + z - 2w = -3

x - z + 2y = 2

2x + 4y + z - 3w = -2

-w + x - 4y - 7z = -19

• w = 3

  x = -1

  y = 2

  z = 1

• w = 3

  x = 1

  y = -2

  z = -1

• w = -3

  x = 1

  y = 4

  z = -1

• w = -3

  x = -1

  y = -4

  z = 1

Solve the system of equations to find the value of z.

• 4

• -4

• 2

• -2