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Math Help - Expo-equation

  1. #1
    Super Member dhiab's Avatar
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    Expo-equation

    Solve in R:
     <br />
x^{2}\times 2^{\sqrt{2x+1}-1}+2^{x}=2^{\sqrt{2x+1}+1}+x^{2}\times 2^{x-2}<br />
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  2. #2
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by dhiab View Post
    Solve in R:
     <br />
x^{2}\times 2^{\sqrt{2x+1}-1}+2^{x}=2^{\sqrt{2x+1}+1}+x^{2}\times 2^{x-2}<br />
    2^{\sqrt{2x+1}-1} = 2^{x-2}

    and find x
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  3. #3
    MHF Contributor
    Grandad's Avatar
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    Hello everyone
    Quote Originally Posted by Amer View Post
    2^{\sqrt{2x+1}-1} = 2^{x-2}

    and find x
    This only gives the solution x = 4 (which is correct), but there is also a solution at x = 2. I think you'll have to replace the x^2 terms by an expression in the form x = 2^y and the compare coefficients to get this solution.

    Grandad
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