Robbie builds model rockets. One day he sets up a rocket, backs away from the launch pad, and then shoots the rocket off into the air. The rocket's path is represented by the equation y=−10x²+130x−400, where y is the height in meters off the ground and x is the horizontal distance in meters from Robbie.
a. Use either the Zero Product Property or the Quadratic Formula to find the x-intercepts of the path of Robbie's rocket. What do the x-intercepts tell you?
b. When Robbie's rocket lands, how far is it from the launch pad?"