SOLUTION: A circular pool measures 10 feet across. One cubic yard of concrete is to be used to create a circular border of uniform width around the pool. If the border is to have a depth of

Question 635815: A circular pool measures 10 feet across. One cubic yard of concrete is to be used to create a circular border of uniform width around the pool. If the border is to have a depth of 2 inches, how wide will the border be? Use 3.14 to approximate Pi. Express your solution rounded to two decimal places. (1 cubic yard= 27 cubic feet)
Answer by graphmatics(170) (Show Source): You can put this solution on YOUR website!
Let x be the width of the border

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=4622.08 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.412888605663785, -10.4128886056638. Here's your graph:

The border should be .41 inches wide.
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