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June 20th, 2013, 10:23 PM   #1
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help me solve this please, I need the steps!!

k = 25

(n/100)^(1/2) =4.5k^(0.5)n^(-0.5)

anyone can show me the step how to solve for n?
I know the answer is n=225, but don't know how to get it.

solve for n.
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June 21st, 2013, 12:00 AM   #2
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Re: help me solve this please, I need the steps!!

We may write the equation as:



With we may simplify as follows:





Assuming the original radicands are non-negative, we find:

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June 21st, 2013, 02:57 AM   #3
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Re: help me solve this please, I need the steps!!

I missed that last line about the negatives.

I can edit my posts now!!

-Dan
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June 21st, 2013, 07:27 AM   #4
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Re: help me solve this please, I need the steps!!

Quote:
Originally Posted by topsquark
I missed that last line about the negatives.

I can edit my posts now!!

-Dan
I originally had , and then added the line about the radicands being non-negative, but didn't change the solution to just the positive case (which I have fixed now).
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June 21st, 2013, 02:05 PM   #5
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Re: help me solve this please, I need the steps!!

Thanks guys, the is really helpful, but I have one more question, the only thing I dont get with the steps is step 1,
on the part 4.5k^(0.5)n^(-0.5) become 4.5sqrt(k/n), can someone explain that particular part for me please?
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June 21st, 2013, 02:25 PM   #6
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Re: help me solve this please, I need the steps!!

Also, you made a mistake going from your second step to your third:

Quote:
Originally Posted by MarkFL





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June 21st, 2013, 03:05 PM   #7
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Re: help me solve this please, I need the steps!!

Quote:
Originally Posted by eddybob123
Also, you made a mistake going from your second step to your third:

Quote:
Originally Posted by MarkFL





How so? You left out the part in your quote where I stated the assumption about the radicands being non-negative.
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June 21st, 2013, 03:07 PM   #8
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Re: help me solve this please, I need the steps!!

Quote:
Originally Posted by ahereicome
Thanks guys, the is really helpful, but I have one more question, the only thing I dont get with the steps is step 1,
on the part 4.5k^(0.5)n^(-0.5) become 4.5sqrt(k/n), can someone explain that particular part for me please?
I used the property:

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June 21st, 2013, 03:12 PM   #9
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Re: help me solve this please, I need the steps!!

I understand how your method works. I'm just addressing a typo you made when you got from

to
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June 21st, 2013, 03:15 PM   #10
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Re: help me solve this please, I need the steps!!

Quote:
Originally Posted by eddybob123
I understand how your method works. I'm just addressing a typo you made when you got from

to
That's not .
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