Quadratic Characteristics

Solve for x.  Round to the nearest hundredth if necessary.
3x² = 16x + 12

• x = -.67, 6

• x = -6, .67

• x = 3.33, 18

• x = -3.33, 18

Solve for x.  Round to the nearest hundredth if necessary.
2x² = -x + 3

• x = -1, 1.5

• x = 1.5, -1

• x = 1, 1.5

• x = -1.5, 1

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

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

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

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

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

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

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

What is the discriminant of the quadratic formula?

• b²-4a

• b²-4ac

• b-4ac

• b²-ac

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

• -8 and 8

• -8i and 8i

• (-√8) i and (√8) i

• -√8  and √8

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

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.