SOLUTION: I need your help with this question. A farmer has 2420 feet of fence to enclose a rectangular area that borders a river. No fence is needed along the river. Find the possibe dimens

Question 435606: I need your help with this question. A farmer has 2420 feet of fence to enclose a rectangular area that borders a river. No fence is needed along the river. Find the possibe dimensions to enclose . I have two equations which are x+x+y=2420 and xy=435600 and I can't figure out where to go from there.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
2x+y=2420
xy=435600
.
y=435600/x
2x+(435600/x)=2420
2x^2+435600=2420x
2x^2-2420x+435600=0
x^2-1210x+217800=0
x=990, y=220 or vice versa (see below)
.
Ed
.

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=592900 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 990, 220. Here's your graph:

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