SOLUTION: The length of a rectangle is 3cm more than 2 times its width. If the area of the rectangle is 93cm2, find the dimensions of the rectangle in numeric values rounded to the nearest

Question 278388: The length of a rectangle is 3cm more than 2 times its width. If the area of the rectangle is 93cm2, find the dimensions of the rectangle in numeric values rounded to the nearest thousandth of a centimeter
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
l=3+2w
a=lw
a=93
solve for w

l=3+2(6.1102)

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=753 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 6.11021136700612, -7.61021136700612. Here's your graph:

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