SOLUTION: 94. Sharing cost. The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost

Question 170960: 94. Sharing cost. The members of a flying club plan to share
equally the cost of a $200,000 airplane. The members
want to find five more people to join the club so that the
cost per person will decrease by $2000. How many members
are currently in the club?

Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
200000/x=c where x is the number of people in the club
:
200000/x+5=c-2000
:
so ---> multiply all terms by x(x+5)
:
distribute
:
200000x terms cancel each other and divide rest of terms by 2000.
:
--->x^2+5x-500=0}}}
20 and -25 are the values for x but we know there arent negative people so 20 is our value for x meaning that
:
THERE ARE CURRENTLY PEOPLE IN THE CLUB

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=2025 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 20, -25. Here's your graph:

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