Quadratic Formula and Discriminant

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

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

• -2, 3
• 2, 3
• 2, -3
• -2, -3

If the discriminant is a negative number, then you will have

• one real solution

• two real solutions

• no real solutions

• infinite solutions

If the discriminant is a positive number, then you will have

• one real solution
• two real solutions
• no real solutions
• one imaginary solution

• Discriminant: 0

  1 real solution

• Discriminant: -24

  No real solution

• Discriminant: 116

  2 real solution

• Discriminant: 84

  2 Real Solutions