SOLUTION: Hi, I was hoping to get help with the formula to solve this quadratic equation problem. A cement walk of a constant width is built around a 20 ft by 40 ft rectangular pool. The t

Question 279301: Hi, I was hoping to get help with the formula to solve this quadratic equation problem.
A cement walk of a constant width is built around a 20 ft by 40 ft rectangular pool. The total area of the pool and the walk is 1500 sq ft.Find the width of the walk.
Thank you
Erin
deae8286@hotmail.com
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
well w=width of sidewalk

w=5.7002747232013

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=1325 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 5.7002747232013, -30.7002747232013. Here's your graph:

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