Quadratic Formula

If the discriminant is negative, you will have....

• two real solutions

• two irrational solutions

• two imaginary solutions

• one solution

• 4, -5/3
• 2/3, 6
• 4/7,6
• -3/8,-7

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

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Use the quadratic formula to find the solutions for
y = 2x² - 9x + 5

• -8.14 and -6.14

• 4.07 and 3.07

• 3.85 and 0.65

• ZERO solutions

Solve x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2

• (5 - √15)/2  ,  (5 + √15)/2

• (5 - i√65)/2  ,  (5 + i√65)/2

• (5 - √65)/2  ,  (5 + √65)/2

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

Solve    2x² + 7x - 15 = 0

• -1.5 or 5

• No Solution

• -5 or 1.5

• 0.7 or 5

Solve     8x² - 6x + 1 = 0

• No Solution

• 0 or 1

• -0.5 or -0.25

• 0.25 or 0.5

The discriminant is

• ax² + bx + c

• b - 4ac

• b² - 4ac

• b² + 4ac