SOLUTION: See the advertisement below. How wide will the free concrete decking be if a uniform width is constructed around the perimeter of the pool? Round to the nearest hundredth of a yard

 

Hi,

6X10 yd pool( 60 yd^2), 28 square yards 

 Area of Pool and Walkway = 88 yd^2

Let x be width of Walkway

 (6+2x)(10+2x) = 88

 4x^2 + 32x + 60 =88

 4x^2 + 32x -28 = 0

  x^2 + 8x - 7 = 0  

 


 
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=92 is greater than zero. That means that there are two solutions: .

  

    

    

    

    Quadratic expression  can be factored:

  

  Again, the answer is: 0.795831523312719, -8.79583152331272.
Here's your graph: