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Math Help - Giant Radical Equation

  1. #1
    Super Member nycmath's Avatar
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    Giant Radical Equation

    Find all real solutions of the equattion..
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  2. #2
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    Re: Giant Radical Equation

    Quote Originally Posted by nycmath View Post
    Find all real solutions of the equation..
    I will get you started. First note that a,~b,~\&~x must all be non-negative.

    Square both sides: \sqrt{a}+\sqrt{x}+2\sqrt{x-a}+\sqrt{x}-\sqrt{a}=2\sqrt{x}+2\sqrt{b}

    Now isolate your radicals and square again; and again; until done.
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  3. #3
    Super Member nycmath's Avatar
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    Re: Giant Radical Equation

    Thanks. I will play with this and post my answer later or tomorrow.
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