## anonymous one year ago What is the value of n in the equation four left parenthesis three n plus two right parenthesis to the power of start fraction one over two end fraction end power minus five equals zero question mark

1. jim_thompson5910

can you draw out the problem? or post a screenshot?

2. anonymous

4(3n+2)1/2-5=0

3. jim_thompson5910

so this? $\LARGE 4(3n+2)^{1/2} - 5 = 0$

4. anonymous

yes

5. jim_thompson5910

what's the first step? Any idea?

6. anonymous

no youre going to have to walk me through this one

7. jim_thompson5910

ok to make things simpler a bit, I'm going to let x = 3n+2 and replace the "3n+2" with x $\LARGE 4(3n+2)^{1/2} - 5 = 0$ $\LARGE 4x^{1/2} - 5 = 0$

8. jim_thompson5910

what does that 1/2 power mean?

9. anonymous

not sure

10. jim_thompson5910

it means "square root", right?

11. jim_thompson5910

so $\LARGE 4x^{1/2} - 5 = 0$ $\LARGE 4\sqrt{x} - 5 = 0$

12. jim_thompson5910

now try to isolate sqrt(x). Get sqrt(x) all by itself on one side

13. anonymous

ok

14. anonymous

you'll have to add 5 to one side

15. jim_thompson5910

yep, then what?

16. anonymous

not sure

17. jim_thompson5910

well you have this $\LARGE 4\sqrt{x} = 5$

18. jim_thompson5910

how would we move that 4 over

19. jim_thompson5910

hint: undo the "4 times"

20. anonymous

i reALLY DONT KNOW

21. jim_thompson5910

you divide both sides by 4 to undo the multiplication

22. jim_thompson5910

$\LARGE 4\sqrt{x} = 5$ $\LARGE \sqrt{x} = \frac{5}{4}$

23. anonymous

OK

24. anonymous

25. jim_thompson5910

are you able to isolate x completely?

26. jim_thompson5910

square both sides

27. anonymous

i dont know

28. jim_thompson5910

give it a try

29. jim_thompson5910

don't be afraid to get it wrong

30. anonymous

i really dont

31. jim_thompson5910

5/4 times 5/4 = ???

32. anonymous

25/16

33. jim_thompson5910

remember we let x = 3n+2

34. jim_thompson5910

so if x = 25/16, then 3n+2 = 25/16

35. jim_thompson5910

isolate n in 3n+2 = 25/16

36. anonymous

ok

37. anonymous

ok

38. anonymous

could you please hurry i have 3 more questions

39. jim_thompson5910

when you solve for n, what did you get?

40. anonymous

not sure

41. jim_thompson5910

what did you try so far

42. anonymous

i just want you to walk me through it bc i dont know how

43. jim_thompson5910

ok read this article and it might help out http://www.purplemath.com/modules/solvelin.htm let me know if it helps or not

44. anonymous

ok well could you please continue

45. jim_thompson5910

have a look at that article first

46. anonymous

i dont have time

47. jim_thompson5910

ok we can work on this when you get back

48. anonymous

no i need to know the answer