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If x = -1 and x = 2 are extreme points of $$f(x) = \alpha \log \mid x \mid + \beta x^2 + x$$ then
$$\alpha = -6, \beta = -\frac{1}{2}$$
$$\alpha = 2, \beta = -\frac{1}{2}$$
$$\alpha = 2, \beta = \frac{1}{2}$$
$$\alpha = -6, \beta = \frac{1}{2}$$
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