Question 62331
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sqrt(3x-5) - sqrt(x+7)=2 solve for x...may be more than one answer
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        The answer in the post by @jai_kos, giving two solutions x= 2  and x= 18, is incorrect.



Of two possible values, x= 2 and x= 18, only x= 18 is the actual solution.


Other value, x= 2, is EXTRANEOUS solution, which does not satisfies the original equation
This extraneous solution should be rejected at the checking process, which @jai_kos neglected to make.