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Math Help - inequation

  1. #1
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    inequation

    Solve:
    2^{x^{2}-6x+3}+6^{x^{2}-3x+1}\geq 3^{2x^{2}-6x+3}
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  2. #2
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    Re: inequation

    It is not true for all x.
    x=3, 2^(9-18+3) = 2^(-6)
    6^(9-9+1) = 6
    2^(-6) + 6 is less than 3^(18-18+3) = 27
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  3. #3
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    Re: inequation

    for x=1 =>5/12 > 4/12
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  4. #4
    MHF Contributor

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    Re: inequation

    Quote Originally Posted by coolge View Post
    It is not true for all x.
    x=3, 2^(9-18+3) = 2^(-6)
    6^(9-9+1) = 6
    2^(-6) + 6 is less than 3^(18-18+3) = 27
    Yes, that's why metalari said "solve". For what values of x is it true?
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