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Math Help - Algebra determine possible roots

  1. #1
    Junior Member Godfather's Avatar
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    Algebra determine possible roots

    The equation

    ax^2-2*x*sqrt2+c=0 has real constants a and c with a zero discriminant. Determin all roots of the equation
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  2. #2
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    Quote Originally Posted by Godfather View Post
    The equation

    ax^2-2*x*sqrt2+c=0 has real constants a and c with a zero discriminant. Determin all roots of the equation
    Case 1, a=0
    Then we have,
    -2x*sqrt(2)+c=0
    Then,
    x=c/(2*sqrt(2))
    Is the only solution.

    Case 2, a not =0
    Then,
    x=2*sqrt(2)/2a=sqrt(2)/a
    As the only solution.
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