SOLUTION: The height h in feet of an object after t seconds is given by the function h = –16t2 + 90t + 7. How long will it take the object to hit the ground? Round your answer to th

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Question 46784: The height h in feet of an object after t seconds is given by the function h = –16t2 + 90t + 7. How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!


Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=8548 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.0767310828315551, 5.70173108283156. Here's your graph:
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