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I'm currently teaching Intermediate Algebra and have taught the class how to solve algebraic problems where a denominator such as (x-2) exists. In other words, the term is not defined at x=2.

Now say that the alleged solution to the problem is x=2. In that case, the correct answer to the problem is that there is no solution.

I'm wondering whether or not a problem such as this can occur in the real scientific world. I'm tempted to tell the class that this is a purely mathematical problem with no real world significance but I want to know for sure before making such a definitive statement.

Thank you,

Bob Guercio