Partial Fractions

Algebra Level 3

1ax2+bx+c=Axb+b24ac2a+Bxbb24ac2a \dfrac{1}{ax^2 + bx + c } = \dfrac{A}{x - \dfrac{-b + \sqrt{b^2 - 4ac}}{2a}} + \dfrac{B}{x - \dfrac{-b - \sqrt{b^2 - 4ac}}{2a}}

Assume that ax2+bx+c0 ax^2 + bx + c \neq 0 . Find A+B A+B .

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