Solving Quadratic Equations with Real and Imaginary Numbers

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Complex (imaginary) Solutions

Use the quadratic formula to find the solutions for

x² - 5x - 12=0

• No Real Solution

• 
• 
• 

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

Solve using the quadratic formula. f(x) = 2x²- 4x + 7

• (2±2i√10)/2

• (4±√40)/4

• (2±i√10)√/2

• (2±2i√40)/4

How many x-intercepts does it have?

• 0

• 1

• 2

• 4

How many x-intercepts does it have?

• 0

• 1

• 2

• 5

For the function above, is the discriminant positive, negative, or zero?

HINT: d + 2 solutions

d = 0 1 solution

d - No real solutions

• Positive

• Negative

• Zero