I was wondering if there is a way that you can determine which solutions of an equation are extraneous to the original equation or not, without plugging them back into the original equation.

  • 1
    $\begingroup$ Yes, before you solve an equation, define the intervals were possible solutions can lie using domains and ranges of involved functions (i.e. I can look at $\sqrt{x+1}=-1$ and say that it has no solutions because a square root cannot be negative) $\endgroup$ – Vasya Mar 8 '19 at 17:31
  • $\begingroup$ @Vasya: Perhaps you could convert your comment into an answer. $\endgroup$ – J W Mar 8 '19 at 17:52
  • $\begingroup$ Possible duplicate of How to know if there is a extraneous solution in a radical expression $\endgroup$ – rb612 Mar 10 '19 at 8:02

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.