SOLUTION: The director of the Glen Island Zoo wants to use 170m of fencing to enclose a petting area of 1750m squared. Find the dimensions of the petting zoo.

Question 433187: The director of the Glen Island Zoo wants to use 170m of fencing to enclose a petting area of 1750m squared. Find the dimensions of the petting zoo.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
In order for this to work:
2x+2y=170
xy=1750
-----------------
y=1750/x
2x+2(1750/x)=170
2x+3500/x=170
2x2+3500=170x
2x2-170x+3500=0
x2-85x+1750=0
(x-35)(x-50)=0
x=35,50
--------------
Thus a petting zoo of 35m X 50m would work perfectly.

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=225 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 50, 35. Here's your graph:

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