## anonymous one year ago What is the solution to the rational equation ? **Medal/fan*

1. anonymous

|dw:1437061349807:dw|

2. anonymous

@Study_together

3. anonymous

@Michele_Laino

4. anonymous

I got 15/7

5. alekos

Is the first fraction x/(x^2-4)?

6. anonymous

no it is x/(x^2-9) @alekos

7. alekos

8. anonymous

ok:)

9. alekos

well done! that's correct

10. anonymous

yay! Will you check another?

11. alekos

yep!

12. anonymous

Dominique can ice cupcakes twice as fast as Houston. When they work together, Dominique and Houston can ice a large order of cupcakes in 5 hours. How many hours would it take Houston to ice them by himself?

13. anonymous

I got 13/2

14. anonymous

a. 13/2 b. 1 c. 4 d. 15/2

15. alekos

ok give me a sec

16. anonymous

kk

17. alekos

I dont get any of those choices?

18. anonymous

i posted them up there hold on.

19. anonymous

a. 13/2 b. 1 c. 4 d. 15/2

20. alekos

what i meant was that I dont get any of the choices you posted?

21. anonymous

oh! I know, I don't understand either.

22. alekos

could be a typo?

23. anonymous

|dw:1437062887584:dw|

24. anonymous

Solve for x and determine if the solution is extraneous or not.

25. anonymous

no, it's a dumb question. Can we do this one instead?

26. anonymous

I got 3, non-extraneous

27. alekos

with the previous question I think it should be "how long would it take dominique on his own" Then you would get one of those choices

28. anonymous

Ok. So for the previous question, i got 15/2 ?

29. alekos

Yep! thats it let me check the 3rd question

30. anonymous

kk

31. alekos

it is 3 but it would be classed as extraneous because if you substitute this in the original fractions you get zero on the bottom line

32. anonymous

Oh! Thanks:)

33. anonymous

|dw:1437063265629:dw|

34. anonymous

Last one because I have no idea how to solve this one but I got 1/3x

35. alekos

is that x^2 on the top and x^5 on the bottom?

36. anonymous

x^2 on the top and x^3 on the bottom

37. alekos

It goes like this $\frac{ 1/x ^{2} }{3/x ^{3} } = \frac{ 1 }{ x ^{2} }.\frac{ x ^{3} }{ 3 }$

38. alekos

can you do the rest?

39. anonymous

@alekos I got 1/3x

40. anonymous

x^3/3x^2

41. alekos

No. I'll go a bit further.......... $= \frac{ x ^{3} }{ 3x ^{2}}$

42. alekos

now what do you get?

43. anonymous

x/3x

44. alekos

here are the rules of exponents $\frac{ x ^{a} }{ x ^{b} } = x ^{a-b}$

45. anonymous

So then I assume it would be 3x

46. alekos

No, the three stays on the bottom line

47. anonymous

Then it would just be 3/x

48. anonymous

sorry, x/3

49. alekos

yeah thats it

50. anonymous

Yay! Thanks so much! <3

51. alekos

No problem. I enjoyed helping you out

52. alekos

you're a good student

53. anonymous

Thanks:)