Solving Quadratics with Complex Solutions

If b²-4ac is positive, the quadratic equation has:

• Two real solutions

• Two imaginary solutions

• One real solution

• No solution

If b²-4ac is negative, the quadratic equation has:

• Two real solutions

• Two imaginary solutions

• One real solution

• No solution

If b²-4ac is 0, the quadratic equation has:

• Two real solutions

• Two imaginary solutions

• One real solution

• No solution

What is the discriminant of the quadratic formula?

• b²-4a
• b²-4ac
• b-4ac
• b²-ac

 Which is a solution to $\frac{1}{2\ }x^{2\ }+8=0$  

•  $\pm$   4i

•  $\pm$  16i

•  $\pm$  - 16i

•  $\pm$  1

What are the zeros of the function f(x) = x² + 64?

• -8 and 8

• -8i and 8i

• -i√8 and i√8

• -√8 and √8

Put 2x² = 3x - 4 in standard form

• 2x² + 3x - 4 = 0
• 2x² - 3x + 4 = 0
• 2x² - 3x - 4 = 0
• 2x² + 3x + 4 = 0

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

Solve -2x² + 4x = 9

• (2 - i√14)/2   ,   (2 + i√14)/2
• (2 - i√-56)/2   ,   (2 + i√-56)/2
• (2 - i√-14)/2   ,   (2 + i√-14)/2
• (2 - √14)/2   ,   (2 + √14)/2

How many solutions does this equation have?

• 2 Real Solutions

• 1 Real Solution

• 2 Complex Solutions