@joe When solving a rational equation, why is it necessary to perform a check?

Question

akshay_budhkar · Answer

so my  answer didn't satisfy you?
i also asked you if you got it but you did not reply

anonymous · Answer

what do you mean by rational equation? something in the form of:

$$\frac{f(x)}{g(x)}$$?
And whatever akshay posts i trust.

akshay_budhkar · Answer

lol thanks for trusting joe!

anonymous · Answer

please solve here. there were they all spoiled my thread.

saifoo.khan · Answer

It is important to check your answers to make sure that it doesn't give a zero denominator in the original equation. If that is the the case then the 'solution' in question is not a solution. When we multiply by the LCM both sides of an equation. We have to check possible solutions in the original equation to make sure that the denominator does not equal zero. Another possibility that calculation errors were made in solving.