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Math Help - How many answers to problem with radical?

  1. #1
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    How many answers to problem with radical?

    Here's the problem:

    x - 3 = sqrt(4x)

    I know x = 9 is one of the answers, but is x = 1 also an answer? Thanks.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: How many answers to problem with radical?

    x = 1 is an extraneous root that results from squaring both sides of the equation. While it satisfies the resulting quadratic, it does not satisfy the original equation, and so it is discarded as extraneous.
    Thanks from crossingdouble
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