SOLUTION: Use the quadratic Formula to solve this equation. Round to the nearest tenth. Show your work.: A rectangular courtyard covers 20ft squared. The courtyard is 3 ft longer than it is

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Question 310359: Use the quadratic Formula to solve this equation. Round to the nearest tenth. Show your work.:
A rectangular courtyard covers 20ft squared. The courtyard is 3 ft longer than it is wide. Find the dimensions of the courtyard.

Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!




view below.
has to be positive



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=89 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3.2169905660283, -6.2169905660283. Here's your graph:



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