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Homework Help: Range of values in regards to quadratics and discriminant

  1. Jul 5, 2012 #1
    1. The problem statement, all variables and given/known data

    Determine the range of values of the constant a so that the solution of ax^2+2ax+3>=0 (when a >0) is all real numbers

    2. Relevant equations

    D = b^2-4ac

    3. The attempt at a solution

    The discriminant is 0, 3. I need to know how to arrange them to get the range. The range is 0<a<=3 in the answers. How do I get it?
  2. jcsd
  3. Jul 5, 2012 #2


    Staff: Mentor

    No, the discriminant is 4a2 - 12a. What do your two values have to do with the discriminant? (I know, but I am trying to get you to be accurate in what you say.)
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