SOLUTION: An employee makes (3x-5) dollars am hour for x hours. If the employer wants to pay no more then 200 a day , what is the maximum number of hour the employee can work

Question 968006: An employee makes (3x-5) dollars am hour for x hours. If the employer wants to pay no more then 200 a day , what is the maximum number of hour the employee can work
Answer by amarjeeth123(569) (Show Source): You can put this solution on YOUR website!
We have (3x-5)x=200
3x^2-5x-200=0

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=2425 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 9.04071483483009, -7.37404816816342. Here's your graph:

The maximum number of hours is 9.07
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