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

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

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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

2x²-x -3=0

• x=-3/2  x=1
• x= 3/2 x= -1
• x= -3/2 x= -1
• x= 3/2 x= 1

• No Solution

Solve using the quadratic formula...

9x² = 4 + 7x

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• No solution

Solve using the quadratic formula:

4x² + 4x + 1 = 0

• x = -½

• x = -2

• x = 0

• x = ½

• 4

• 18

• 0

• -18

1 The discriminant is

• aX² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac