You can
put this solution on YOUR website!h = t^2 – 7t + 3
Set h to zero and solve for t:
0 = t^2 – 7t + 3
Since we can't factor, we must resort to the quadratic equation. Doing so, yields:
x = {6.5, 0.5}
So, the object will be 10 feet at 0.5 seconds and 6.5 seconds.
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Details of quadratic equation follows...
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| 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=37 is greater than zero. That means that there are two solutions:  .
Quadratic expression  can be factored:
Again, the answer is: 6.54138126514911, 0.45861873485089.
Here's your graph:
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