SOLUTION: Wyatt is diving from 10-meter platform. His hight, H, in meters above the water when he is, X, meters away from the platform is given by the formula, H=-X²+2X+10. Approximately how

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Question 297434: Wyatt is diving from 10-meter platform. His hight, H, in meters above the water when he is, X, meters away from the platform is given by the formula, H=-X²+2X+10. Approximately how far away from the platform is he when he enters the water?
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!
this is not an age problem use quadratic formula to solve
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=44 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -2.3166247903554, 4.3166247903554. Here's your graph:
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