Quadratic Formula

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

What is this formula?

• This is the standard formula.

• This is the quadratic formula.

• This is the square root formula.

• This is the Pythagorean formula

Use the quadratic formula to solve 2x² + 2x - 12.

• -2, 3

• 2, 3

• 2, -3

• -2, -3

Solve 2x² + 7x - 15 = 0

• -3/2 or 5

• No Solution

• -5 or 3/2

• 0.7 or 5

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4
• -4 & 10
• -8 & 4
• 8 & -4

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.

Identify the 'b' value: y = 16x² -8x -24

• 16
• -8
• 8
• -24

Identify the 'c' value: y = 16x² -8x -24

• 16
• -8
• 8
• -24

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

• x = 1 and x = 3
• x = 6 and x = -2
• x = -1 and x = -3

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