SOLUTION: Determine the break-even points of the profit function P(x)= -2x^2+7x+8, where x is the number of dirt bikes produced, in thousands.

Question 914357: Determine the break-even points of the profit function P(x)= -2x^2+7x+8, where x is the number of dirt bikes produced, in thousands.
Answer by ewatrrr(24785) (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=113 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.907536453183662, 4.40753645318366. Here's your graph:

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