Quadratic Formula

Solve by completing the square:
v² + 6v − 59 = 0

• {-5 + 5√2, -5 - 5√2}
• {5 + 5√2, 5 - 5√2}
• {-3 + 2√17, -3 - 2√17}
• {3 + 2√17, 3 - 2√17}

Solve by completing the square:

n² - 2n - 3 = 0

• n = 3 and -1

• n = 4 and -4

• n = 5 and -3

• n = 8 and -7

Use the quadratic formula to find the solutions for

0 = -x² - 5x + 12

• No Real Solution

• 
• 
• 

What should you do first in solving this equation?

x² + 6x - 13 = 3

• Factor

• Write down: a = 1, b = 6, c = -13

• Subtract 3 from both sides.

• Add 3 to both sides.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Find the discriminant: 3k² + k - 1 = 0

• 36

• -11

• 13

• -20

How many real solutions does 3k² + k - 1 = 0 have?

• 2

• 1

• 0

Solve 4x² - 2x + 4 = 0 using the quadratic formula

• x = 2, -1

• x = 3, -1

• x = 1, -2

• x = 1, -3

• No Solution

Solve a² - 4a + 4 = 0 using the quadratic formula

• 2

• -2

• 4

• -4

• No Solution

Use the quadratic formula to find the solutions for
y = -x² - 5x + 12

• -4.9 and -0.1
• -8.54 and 8.54
• -0.45 and 3.55
• -6.77 and 1.77