SOLUTION: find the amount of time it takes if 400=-16t^2-2t+733

Question 438942: find the amount of time it takes if 400=-16t^2-2t+733
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
400=-16t^2-2t+733
0=-16t^2-2t+733-400
0=-16t^2-2t+333
0=16t^2+2t-333
solve by applying the quadratic formula to get:
x = {4.5, -4.625}
we can throw out the negative answer leaving
x = 4.5 seconds
.
Details of quadratic to follow:

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=21316 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4.5, -4.625. Here's your graph:

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