Solving Quadratics in Context

How long is the rocket in the air?

About how high is the rocket after 1 second?

How long did it take the rocket to reach its maximum height?

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.

Solve Using the Quadratic Formula

x² + 4x - 40 = -8

• x = -10 and x = -4

• x = -4 and x = 10

• x = -8 and x = 4

• x = 8 and x = -4

• 0

• 1

• 2

• Cannot be determined

• The discriminant is positive, indicating two distinct real roots.

• The discriminant is zero, indicating exactly one real root.

• The discriminant is negative, indicating two complex roots.

• The discriminant is zero, indicating two identical real roots.

• Discriminant is 0; the equation has two identical real roots.

• Discriminant is 16; the equation has two distinct real roots.

• Discriminant is -16; the equation has two complex roots.

• Discriminant is 0; the equation has no real roots.

If the discriminant is negative, then the solution will be

• one real solution

• two real solutions

• no real solution

• The discriminant is positive, indicating two distinct real roots.

• The discriminant is zero, indicating exactly one real root.

• The discriminant is negative, indicating two complex roots.

• The discriminant is positive, indicating two identical real roots.