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what does 'equal roots' mean?

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    i'm sure this has been asked before, but i cannot get the search to work.
    it's a c1 question where f(x) has equal roots. help appreciated.

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    If the function f(x) is a quadratic or has a power higher than 1, there are two roots. Both of these roots are therefore equal.

    for example, the roots of
    x^2 + 6x +9

    are x = 3
    and x = 3
    - equal roots
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    b^2-4ac = 0
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    Ok, thanks.
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    Basically the graph of the function touches the x axis but doesn't cross it
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    (Original post by Mithra)
    Basically the graph of the function touches the x axis but doesn't cross it
    Although it can be useful to consider a geometric interpretation, this is a graph of a function with equal roots.
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    (Original post by harr)
    Although it can be useful to consider a geometric interpretation, this is a graph of a function with equal roots.
    doh, forgot about graphs like that :p:. I was just thinking of a quadratic moved upwards since someone mentioned quadratic roots formula .

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