Jerry needs to run some wire in his bedroom. The room is 10 feet by 12 feet. he is going to run the wire from one corner to the
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So in order to get all the fractions to have a common denominator, we need to multiply by
, and
by
:
Now,
As long as and
(which we can't have because otherwise
), we can cancel
in the denominators on both sides:
We can factorize the right side:
which tells us that and
are solutions.