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

- anonymous

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- jim_thompson5910

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

- anonymous

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

- jim_thompson5910

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

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## More answers

- anonymous

yes

- jim_thompson5910

what's the first step? Any idea?

- anonymous

no youre going to have to walk me through this one

- 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

what does that 1/2 power mean?

- anonymous

not sure

- jim_thompson5910

it means "square root", right?

- jim_thompson5910

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

- jim_thompson5910

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

- anonymous

ok

- anonymous

you'll have to add 5 to one side

- jim_thompson5910

yep, then what?

- anonymous

not sure

- jim_thompson5910

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

- jim_thompson5910

how would we move that 4 over

- jim_thompson5910

hint: undo the "4 times"

- anonymous

i reALLY DONT KNOW

- jim_thompson5910

you divide both sides by 4 to undo the multiplication

- jim_thompson5910

\[\LARGE 4\sqrt{x} = 5\]
\[\LARGE \sqrt{x} = \frac{5}{4}\]

- anonymous

OK

- anonymous

so whats the answer

- jim_thompson5910

are you able to isolate x completely?

- jim_thompson5910

square both sides

- anonymous

i dont know

- jim_thompson5910

give it a try

- jim_thompson5910

don't be afraid to get it wrong

- anonymous

i really dont

- jim_thompson5910

5/4 times 5/4 = ???

- anonymous

25/16

- jim_thompson5910

remember we let x = 3n+2

- jim_thompson5910

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

- jim_thompson5910

isolate n in 3n+2 = 25/16

- anonymous

ok

- anonymous

ok

- anonymous

could you please hurry i have 3 more questions

- jim_thompson5910

when you solve for n, what did you get?

- anonymous

not sure

- jim_thompson5910

what did you try so far

- anonymous

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

- 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

ok well could you please continue

- jim_thompson5910

have a look at that article first

- anonymous

i dont have time

- jim_thompson5910

ok we can work on this when you get back

- anonymous

no i need to know the answer

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