SOLUTION: A rectangle with an area of 60 square feet has a diagonal of 13 feet. find the sides of the rectangle. this is for roots but we can use any method ancient or modern. I know x

Question 839982: A rectangle with an area of 60 square feet has a diagonal of 13 feet. find the sides of the rectangle.
this is for roots but we can use any method ancient or modern.
I know xy=60 and x^2 + y^2=13^2
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A rectangle with an area of 60 square feet has a diagonal of 13 feet. find the sides of the rectangle.
this is for roots but we can use any method ancient or modern.
I know xy=60 and x^2 + y^2=13^2
--------------
y = 60/x

Sub u for x^2

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=14161 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 144, 25. Here's your graph:

=====================

x = 12
y = 5
or vice versa
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