algebra 2
posted by Jess
Carlos wants to make a scale drawing of a rectangle. he wants the rectangle to have a length of (x1) units and an area of 1x/x^2+1 square units. What can you say about how wide the rectangle should be? Explain.

Reiny
I will assume you want the area to be
(1x)/(x^2 +1)
area = l x w
so (1x)/(x^2 + 1 ) = w(x1)
w = [ (1x)/(x^2 + 1) ] / (x1)
= 1/(x^2 + 1)
What I would say is "There is no real number for the width"
since x^2 is always positive, then x^2 + 1 is always positive
Thus 1/(a positive) = a negative
We cannot have a negative width
unless you want your typed version to have a different meaning besides my interpretation.
the way you typed it it would have a value of 2  1/x
and I am pretty sure you didn't mean that.
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