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Math Help - Polynomials with Constants

  1. #1
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    Polynomials with Constants

    I have a function with basically only 1 unknown, A but my function also contains other constants, B's & C's. Im after an solution for A in terms of B and C. I guess I just want to make A the subject.

    My function is similar in nature to this;
    A = [B/A + 2B/(A + C/2) + (A^2 + 3)/C] / [C^2 + 7A]

    I understand how to use excel solver to solve higher order polynomials but not when the function also contains other constants . . . .

    How can I solve this for A ? . . . with or without software.

    I understand that there will probably be more than one solution for A. I am after the method rather than an actual answer to this problem.

    Cheers.
    Last edited by eatmoreburritos; March 30th 2011 at 05:29 PM. Reason: removed 1 bracket
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  2. #2
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    You have an opening parenthesis there that doesn't have a closing one. Where is the closing parenthesis supposed to go?

    Here's a little algorithm you can use to check to make sure all opening ('s have closing )'s: scan the expression from left to right. Every time you have a left (, increment a counter. Every time you have a right ), decrement the counter. If, at the end, you have 0, then your expression is at least balanced. Then you also have to make sure you don't have anything like ([)], which is not allowed. It must always be [()] or ([]).

    Be careful with parentheses!
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  3. #3
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    Yes, I am familiar with brackets

    This was I typo and I have now fixed it. Are you able to help with a solution?
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  4. #4
    A Plied Mathematician
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    That's a quartic in A. It's solvable, but if you want to do it by hand, you're crazy. WolframAlpha gives some solutions here (you might have to make it continue computing).
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  5. #5
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    Cool, thanks.
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  6. #6
    A Plied Mathematician
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    You're welcome!
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