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:x = 7 and x = -4
where x = 7 is the solution to the problem, and x = -4 is an '''extraneous solution''' because it is not pertinent to the problem. [[User:Tparameter|Tparameter]] ([[User talk:Tparameter|talk]]) 17:46, 19 January 2008 (UTC)
No, this is not a sutiable example of an extraneous solution. Since x = -4 can satisfly the equation x<sup>2</sup> - 3x + 5 = 0, only does not satisfly the ___domain that sets manually. Note that extraneous solution should focus on the '''naturally-formed ___domain''' but not on the '''manually-formed ___domain'''. Since you can set '''manually-formed ___domain''' at you own taste but '''naturally-formed ___domain''' cannot. '''naturally-formed ___domain''' should comes from the orginal equation. If the solution that does not satisfly the '''naturally-formed ___domain''' is also called extraneous solution, it should be trouble. Since this time all equation may be generate "extraneous solution" if you set an appropriate manually-formed ___domain. The term '''extraneous solution''' should not follow this approach.
If you search '''extraneous solution''' in Yahoo!, you can find many topics talking about '''extraneous solution'''. http://www.mathpath.org/proof/argument.invalid.htm is one of the appropriate example.[[User:Doraemonpaul|Doraemonpaul]] ([[User talk:Doraemonpaul|talk]]) 19:51, 18 February 2009 (UTC)
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