SOLUTION: I believe this one needs the quadratic formula but I'm not entirely sure how I would set it up and solve. In order to grow all the peppers he needs, Joe needs to double the siz

Question 793312: I believe this one needs the quadratic formula but I'm not entirely sure how I would set it up and solve.
In order to grow all the peppers he needs, Joe needs to double the size of his garden.He plans to extend his garden by adding a uniform strip to each side of the current 6ft by 8ft rectangular plot. how wide does the strip need to be?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
In order to grow all the peppers he needs, Joe needs to double the size of his garden.He plans to extend his garden by adding a uniform strip to each side of the current 6ft by 8ft rectangular plot. how wide does the strip need to be?
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If you mean each of the 4 sides:
width = x --> Area of (6 + 2x)*(8 + 2x) = 2*48
(x + 3)*(x + 4) = 24

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=97 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.42442890089805, -8.42442890089805. Here's your graph:

==================
width =~ 1.1244 feet

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