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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

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  1. jim_thompson5910
    • one year ago
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    can you draw out the problem? or post a screenshot?

  2. anonymous
    • one year ago
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    4(3n+2)1/2-5=0

  3. jim_thompson5910
    • one year ago
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    so this? \[\LARGE 4(3n+2)^{1/2} - 5 = 0\]

  4. anonymous
    • one year ago
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    yes

  5. jim_thompson5910
    • one year ago
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    what's the first step? Any idea?

  6. anonymous
    • one year ago
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    no youre going to have to walk me through this one

  7. jim_thompson5910
    • one year ago
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    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
    • one year ago
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    what does that 1/2 power mean?

  9. anonymous
    • one year ago
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    not sure

  10. jim_thompson5910
    • one year ago
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    it means "square root", right?

  11. jim_thompson5910
    • one year ago
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    so \[\LARGE 4x^{1/2} - 5 = 0\] \[\LARGE 4\sqrt{x} - 5 = 0\]

  12. jim_thompson5910
    • one year ago
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    now try to isolate sqrt(x). Get sqrt(x) all by itself on one side

  13. anonymous
    • one year ago
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    ok

  14. anonymous
    • one year ago
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    you'll have to add 5 to one side

  15. jim_thompson5910
    • one year ago
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    yep, then what?

  16. anonymous
    • one year ago
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    not sure

  17. jim_thompson5910
    • one year ago
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    well you have this \[\LARGE 4\sqrt{x} = 5\]

  18. jim_thompson5910
    • one year ago
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    how would we move that 4 over

  19. jim_thompson5910
    • one year ago
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    hint: undo the "4 times"

  20. anonymous
    • one year ago
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    i reALLY DONT KNOW

  21. jim_thompson5910
    • one year ago
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    you divide both sides by 4 to undo the multiplication

  22. jim_thompson5910
    • one year ago
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    \[\LARGE 4\sqrt{x} = 5\] \[\LARGE \sqrt{x} = \frac{5}{4}\]

  23. anonymous
    • one year ago
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    OK

  24. anonymous
    • one year ago
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    so whats the answer

  25. jim_thompson5910
    • one year ago
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    are you able to isolate x completely?

  26. jim_thompson5910
    • one year ago
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    square both sides

  27. anonymous
    • one year ago
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    i dont know

  28. jim_thompson5910
    • one year ago
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    give it a try

  29. jim_thompson5910
    • one year ago
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    don't be afraid to get it wrong

  30. anonymous
    • one year ago
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    i really dont

  31. jim_thompson5910
    • one year ago
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    5/4 times 5/4 = ???

  32. anonymous
    • one year ago
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    25/16

  33. jim_thompson5910
    • one year ago
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    remember we let x = 3n+2

  34. jim_thompson5910
    • one year ago
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    so if x = 25/16, then 3n+2 = 25/16

  35. jim_thompson5910
    • one year ago
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    isolate n in 3n+2 = 25/16

  36. anonymous
    • one year ago
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    ok

  37. anonymous
    • one year ago
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    ok

  38. anonymous
    • one year ago
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    could you please hurry i have 3 more questions

  39. jim_thompson5910
    • one year ago
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    when you solve for n, what did you get?

  40. anonymous
    • one year ago
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    not sure

  41. jim_thompson5910
    • one year ago
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    what did you try so far

  42. anonymous
    • one year ago
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    i just want you to walk me through it bc i dont know how

  43. jim_thompson5910
    • one year ago
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    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
    • one year ago
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    ok well could you please continue

  45. jim_thompson5910
    • one year ago
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    have a look at that article first

  46. anonymous
    • one year ago
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    i dont have time

  47. jim_thompson5910
    • one year ago
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    ok we can work on this when you get back

  48. anonymous
    • one year ago
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    no i need to know the answer

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