Hi,

     .

A = Lw

(6w-3)w = 145

6w^2 -3w = 145

.........

6w^2 - 3w - 145 = 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=3489 is greater than zero. That means that there are two solutions: .

  

    

    

    

    Quadratic expression  can be factored:

  

  Again, the answer is: 5.17231314187412, -4.67231314187412.
Here's your graph:



  

RELATED QUESTIONS

A rectangle has a length of n units. Its width is 6 units less than its length. What is... (answered by josgarithmetic)

The length of a rectangle is two less than three times its width. If the area of the... (answered by josgarithmetic,greenestamps)

A rectangle has an area of 24 square units.  The width is 5 units less than the length.  	 (answered by RAY100)

a rectangle has an area of 24 square units .the width is 5 units less than the length .... (answered by Alan3354)

a rectangle has an area of 24 square units. the width is 5 units less than the length.... (answered by hokies,palanisamy,Alan3354)

What is the area of a rectangle whose width is 6 units more than its... (answered by josgarithmetic)

The width of a rectangle is 11 units less than the length. If the area is 60 square... (answered by stanbon)

The width of a rectangle is 7 units less than the length. If the area is 98 square units,  (answered by Alan3354)