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Math Help - Discriminant question

  1. #1
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    Discriminant question

    Find the range of values of a for which the following equations have two real roots:

    x^2 - 2ax + 3a = 0

    I've got it down to a^2-3a>0, where do i go from here?

    Thanks
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  2. #2
    MHF Contributor red_dog's Avatar
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    The equation a^2-3a=0 has the roots a_1=0, \ a_2=3

    Then a^2-3a\geq 0 if a\in(-\infty,0]\cup[3,\infty)
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