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Math Help - Algebraic Exponents

  1. #1
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    Algebraic Exponents

    If 3x + 3-x = 10/3 , the sum of the possible solutions is:
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  2. #2
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    Re: Algebraic Exponents

    Hint: f(x)=3x+3-x is an even function meaning that f(x)=f(-x)
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  3. #3
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    Re: Algebraic Exponents

    Quote Originally Posted by Espionage View Post
    If 3x + 3-x = 10/3 , the sum of the possible solutions is:
    This problem is equivalent to 3y^2-10y+3=0 where y=e^x.
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  4. #4
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    Re: Algebraic Exponents

    Hi Espionage,
    The easiest solution is to notice "by inspection" that 1 and -1 are roots. So the sum is 0. I'm not really that much of an arithmetic whiz. I drew the graph and then realized from the graph that 1 and -1 are the roots. Moral: always draw a picture if you can. Of course, use technology to draw said picture. Here's the graph that I drew together with the solutions as suggested above:

    Algebraic Exponents-mhfalgebra.png
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