anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
can you draw out the problem? or post a screenshot?
anonymous
  • anonymous
4(3n+2)1/2-5=0
jim_thompson5910
  • jim_thompson5910
so this? \[\LARGE 4(3n+2)^{1/2} - 5 = 0\]

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anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
what's the first step? Any idea?
anonymous
  • anonymous
no youre going to have to walk me through this one
jim_thompson5910
  • jim_thompson5910
ok to make things simpler a bit, I'm going to let x = 3n+2 and replace the "3n+2" with x \[\LARGE 4(3n+2)^{1/2} - 5 = 0\] \[\LARGE 4x^{1/2} - 5 = 0\]
jim_thompson5910
  • jim_thompson5910
what does that 1/2 power mean?
anonymous
  • anonymous
not sure
jim_thompson5910
  • jim_thompson5910
it means "square root", right?
jim_thompson5910
  • jim_thompson5910
so \[\LARGE 4x^{1/2} - 5 = 0\] \[\LARGE 4\sqrt{x} - 5 = 0\]
jim_thompson5910
  • jim_thompson5910
now try to isolate sqrt(x). Get sqrt(x) all by itself on one side
anonymous
  • anonymous
ok
anonymous
  • anonymous
you'll have to add 5 to one side
jim_thompson5910
  • jim_thompson5910
yep, then what?
anonymous
  • anonymous
not sure
jim_thompson5910
  • jim_thompson5910
well you have this \[\LARGE 4\sqrt{x} = 5\]
jim_thompson5910
  • jim_thompson5910
how would we move that 4 over
jim_thompson5910
  • jim_thompson5910
hint: undo the "4 times"
anonymous
  • anonymous
i reALLY DONT KNOW
jim_thompson5910
  • jim_thompson5910
you divide both sides by 4 to undo the multiplication
jim_thompson5910
  • jim_thompson5910
\[\LARGE 4\sqrt{x} = 5\] \[\LARGE \sqrt{x} = \frac{5}{4}\]
anonymous
  • anonymous
OK
anonymous
  • anonymous
so whats the answer
jim_thompson5910
  • jim_thompson5910
are you able to isolate x completely?
jim_thompson5910
  • jim_thompson5910
square both sides
anonymous
  • anonymous
i dont know
jim_thompson5910
  • jim_thompson5910
give it a try
jim_thompson5910
  • jim_thompson5910
don't be afraid to get it wrong
anonymous
  • anonymous
i really dont
jim_thompson5910
  • jim_thompson5910
5/4 times 5/4 = ???
anonymous
  • anonymous
25/16
jim_thompson5910
  • jim_thompson5910
remember we let x = 3n+2
jim_thompson5910
  • jim_thompson5910
so if x = 25/16, then 3n+2 = 25/16
jim_thompson5910
  • jim_thompson5910
isolate n in 3n+2 = 25/16
anonymous
  • anonymous
ok
anonymous
  • anonymous
ok
anonymous
  • anonymous
could you please hurry i have 3 more questions
jim_thompson5910
  • jim_thompson5910
when you solve for n, what did you get?
anonymous
  • anonymous
not sure
jim_thompson5910
  • jim_thompson5910
what did you try so far
anonymous
  • anonymous
i just want you to walk me through it bc i dont know how
jim_thompson5910
  • 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
anonymous
  • anonymous
ok well could you please continue
jim_thompson5910
  • jim_thompson5910
have a look at that article first
anonymous
  • anonymous
i dont have time
jim_thompson5910
  • jim_thompson5910
ok we can work on this when you get back
anonymous
  • anonymous
no i need to know the answer

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