SOLUTION: Thank you in advance for you help with this equation. I really appreciate it. Question 1 The total profit (in dollars) for sales of x rowing machines is given by P(x) = -0.2x^2

Question 23392: Thank you in advance for you help with this equation. I really appreciate it.
Question 1
The total profit (in dollars) for sales of x rowing machines is given by P(x) = -0.2x^2 + 300x - 200. What is the total profit if 500 are sold? For what value of x will the profit be at a maximum?
Question 2
Solve the equation by using the quadratic equation.
y^2 + 6y + 4 = 0
Question 3
Solve the equation
b+17/b^2-1 - 1/b+1 = b-2/b-1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
#1: In place of "x" put 500. Then evaluate.
You have a quadratic with a=-0.2, b=300, c=-200
The max is at x=-b/2a = 300/0.4 = 7500
In place of "x" in the original equation put 7500 to
find the corresponding P(7500)
#2:a=1,b=6,c=4

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=20 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.76393202250021, -5.23606797749979. Here's your graph:

#3: Can't tell where your denominators end. Please
use parentheses.
Cheers,
Stan H.

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