SOLUTION: The area of a sqaure is numerically 96 more than the perimeter. Find the length of the side.

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Question 289096: The area of a sqaure is numerically 96 more than the perimeter. Find the length of the side.
Answer by Stitch(470)   (Show Source): You can put this solution on YOUR website!
Equation:
Set one side to 0

Use the quadratic equation
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=400 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 12, -8. Here's your graph:


Using the quadratic equation gave us two answers: -8 & 12
Since you can not have a negative length, 12 is the length of 1 side
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