By partial fractions,
\[\frac{1}{ax^2 + bx + c} = \frac{A}{x - \dfrac{-b + \sqrt{b^2 - 4ac}}{2a}} + \frac{B}{x - \dfrac{-b - \sqrt{b^2 - 4ac}}{2a}}.\]Find $A + B.$
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<|im_start|>user
By partial fractions,
\[\frac{1}{ax^2 + bx + c} = \frac{A}{x - \dfrac{-b + \sqrt{b^2 - 4ac}}{2a}} + \frac{B}{x - \dfrac{-b - \sqrt{b^2 - 4ac}}{2a}}.\]Find $A + B.$
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<|im_start|>assistant

user
0
By partial fractions,
\[\frac{1}{ax^2 + bx + c} = \frac{A}{x - \dfrac{-b + \sqrt{b^2 - 4ac}}{2a}} + \frac{B}{x - \dfrac{-b - \sqrt{b^2 - 4ac}}{2a}}.\]Find $A + B.$
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