python - Numpy throws incorrect roots -


i'm using numpy solve quadratic equations, found equation i'm not getting correct result using function numpy.roots()

the following equation:

enter image description here

has these roots (tested manually , online calculators):

enter image description here

but entering command numpy.roots([1, 6, 9]) output got was

array([-3. +3.72529030e-08j, -3. -3.72529030e-08j])

i tried different equations, in cases numpy's result correct. problem particular example. other successful examples tried were:

numpy.roots([1, 6, 13])  numpy.roots([1, -6, 17])  numpy.roots([1, -5, 6])  numpy.roots([1, -10, 25])  numpy.roots([1, 4, 4])

is there possibility of being bug or i'm misundersanding behavior of function?

thanks


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