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

Algebra ->  Customizable Word Problem Solvers  -> Age -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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 ax%5E2%2Bbx%2Bc=0 (in our case -1x%5E2%2B2x%2B10+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%282%29%5E2-4%2A-1%2A10=44.

Discriminant d=44 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-2%2B-sqrt%28+44+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%282%29%2Bsqrt%28+44+%29%29%2F2%5C-1+=+-2.3166247903554
x%5B2%5D+=+%28-%282%29-sqrt%28+44+%29%29%2F2%5C-1+=+4.3166247903554

Quadratic expression -1x%5E2%2B2x%2B10 can be factored:
-1x%5E2%2B2x%2B10+=+-1%28x--2.3166247903554%29%2A%28x-4.3166247903554%29
Again, the answer is: -2.3166247903554, 4.3166247903554. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-1%2Ax%5E2%2B2%2Ax%2B10+%29