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Question: get rid of absolute value when solve system of equations

Question:get rid of absolute value when solve system of equations

spark1631 60 Maple 18
solve
May 21 2015
0

when solving a system of equations, I want to get rid of all the absolute functions.

 

for example, |y-2|=x，I don't want maple solve this equation directly...because maple may has difficulties when dealing with absolute values. Instead, I want to transform this equation by squaring the both sides at the same time which end up this equation: (y-2)^2=x^2.

 

The example I provide is kind of simple...what if there are multiple absolute term in the equations? Is there a general way to get what I need? Or Is it practical to use Maple to achive such thing?

 

thanks in advance.
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