## anonymous 5 years ago Does anybody know how to solve rational equations with polynomial denominators?

1. anonymous

if so comment and i will post the question ^^

2. anonymous

I do

3. anonymous

I helped someone with that so I will guid you there

4. anonymous

Alrighty thx!! :) the problem is: x = 1 +1 2x+4 x+2

5. anonymous

i dont know how to do the lines underneath ^^

6. anonymous

it's in clark's problem the idea is there, so if you want to know the steps they are all there

7. anonymous

Alrighty!!! can u link me maybe?

8. anonymous
9. anonymous

actually, yours is an equation. not an inequality, so nvm

10. anonymous

uh... I just noticed this but what did I do ? lol there are so many postings... creepy

11. anonymous

Wow!! that looks like exactely what i need!!! :D thanks a bunch!!! :) Totally giving u medals lol :)

12. anonymous

wait up 1<3, yours is different and much easier so stay here and listen

13. anonymous

alright im listening!! :)

14. anonymous

${x \over 2x +4 } = {1 \over x+2 } +1$

15. anonymous

right ?

16. anonymous

17. anonymous

Alright u guys have helped me massively!! :) Now i gtg and do more work :P might not be on later depends on if i need help or not or if i have time ^_^ lol

18. anonymous

the first thing you want to do here is to find out the common denominator for all terms you have,

19. anonymous

gl!

20. anonymous

Thanks :)

21. anonymous

I'll leave the steps so that you can look at it later ok ?

22. anonymous

Ahww thank you that is extremely helpful of u =3

23. anonymous

cuz i k i will definitely look at the steps ^_^

24. anonymous

the LCD is 2x+4, so if you multiply that on both sides you will get $x = 2 + 2x+4$

25. anonymous

if you solve that x = -6

26. anonymous

the only thing you have to be careful is to make sure that when you start the problem, you identify the "extraneous solutions' basically the x's that makes any denominator in our eqn =0 since x = -2 is such number, it will never be the answer

27. anonymous

since we did not deduce that x = -2, we just ignore it, but if x =-2 was what we deduced, then there is no solution. okay, hope you do well.

28. anonymous

Thanks a BUNCH!!!! ur steps totally helped me :)