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what does 'equal roots' mean?

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1. 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.

2. 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
3. b^2-4ac = 0
4. Ok, thanks.
5. Basically the graph of the function touches the x axis but doesn't cross it
6. (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.
7. (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 . I was just thinking of a quadratic moved upwards since someone mentioned quadratic roots formula .

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