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Math Help - find x

  1. #1
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    find x

    solve
    2x^2-5x+2=[5-sqrt(9+8x)]/4 where x<5/4
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  2. #2
    -1
    e^(i*pi)'s Avatar
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    2x^2-5x+2 = \dfrac{5-\sqrt{9+8x}}{4}

    8x^2-20x+8 = 5 - \sqrt{9+8x}

    8x^2 - 20x+3 = \sqrt{9+8x}

    Square and solve the horrible quartic for x discarding any extraneous solutions
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