Solving Quadratic Equations

A lizard is jumping across the water in search of food. The equation h = -12t² + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?

• 0.1 seconds

• 0.25 seconds

• 0.50 seconds

• 0.75 seconds

• 1 second

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t^2 + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

Solve the equation by taking square roots:

Solve the quadratic equation by taking the square roots. Allow for imaginary solutions.

Solve the quadratic equation by taking the square roots. Allow for imaginary solutions.

Solve by taking the square root:
x² = 49

• -7

• 7

• 49

• -7, 7

x² -4 = 77

• 9

• -9

• No Real Solutions

• 9, -9

Solve.

4x² - 7 = -10

Solve by taking the square root:
4x² = 100

• -10, 10

• -25, 25

• -5, 5

• 5