SOLUTION: the length of a rectangle is 15 more than its width. find its length when its area is 150cm^2

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Question 885326: the length of a rectangle is 15 more than its width. find its length when its area is 150cm^2
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
A = Lw = (15+w)w = 150cm^2
w^2 + 15w - 150 = 0 (Tossing out the negative solution for unit measure)
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=825 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6.86140661634507, -21.8614066163451. Here's your graph:
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