SOLUTION: A rectangular bedroom is 7ft. longer than it is wide. Its area is 875ft.^2. What are its dimensions?

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Question 199286This question is from textbook algebra and trigonometry
: A rectangular bedroom is 7ft. longer than it is wide. Its area is 875ft.^2. What are its dimensions? This question is from textbook algebra and trigonometry

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
Let x=length and w=width
x=w+7
xw=875
w(w+7)=875 substitute w+7 for x.
w^2+7w-875=0
w=26.29... see below
x=33.29...
.
Ed
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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=3549 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 26.286742017213, -33.286742017213. Here's your graph:
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