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November 14th, 2010, 04:59 PM   #1
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help!...I'm totally stuck solving for 'a'....

Hi. I have reduced a big set of formulas down to this final bit, but I have no idea how to take it further. Can anyone help?

Thank you so much in advance.


Solve for 'a'....

d = a^4 - a^6/b^2
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November 15th, 2010, 03:03 AM   #2
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Re: help!...I'm totally stuck solving for 'a'....



Multiply both sides by



and bring everything to the left to get



Make the substitution



to get



Now you can use the cubic formula to solve for u, from which it is easy to find a.
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November 15th, 2010, 02:41 PM   #3
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Re: help!...I'm totally stuck solving for 'a'....

Hey....thanks!!!! That's perfect. I really learned something new over the last FIVE hours! (studying the cubic formula).

But then I found a calculator online to speed things up just a tiny bit...
http://www.1728.com/cubic.htm

Thanks for all the help.
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