We are studying Quadratic formula:

A football player punts a ball. The path of the ball can be modeled by the equation y=-0.004x(squared) + x + 2.5, where x is the horizontal distance, in feet, the ball travels and y is the height, in feet, of the ball. How far from the football player will the ball land? Round to the nearest tenth of a foot.

1 answer

y = -0.004x^2 + x + 2.5
the ball lands where y=0

-0.004x^2 + x + 2.5 = 0
x = 25(5+√26) = 252.5