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Lambiam, on your first example, sorry, why isn't 2 a solution? [[User:Tparameter|Tparameter]] ([[User talk:Tparameter|talk]]) 16:08, 19 January 2008 (UTC)
== Is this an example of an extraneous solution? ==
The ___domain is given as the set of all <math>{x : x \in \Bbb{R}, x > 0}</math>.
Given the ___domain, and given
:x<sup>2</sup> - 3x + 5 = 0
Find x.
Using the [[quadratic formula]], it is easy to find the solutions
: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.
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