Let f : R→R be a twice differentiable function such that equation f(x)m^2 – 2f '(x)m + f''(x)=0 in

Описание: Let f : R→R be a twice differentiable function such that the quadratic equation f(x)m^2 – 2f '(x)m + f''(x)=0 in m, has two equal roots for every xR. If f(0)=1, f '(0) = 2 and (α, β) is the largest interval in which the function f(logx – x) is increasing, then α + β is equal to .
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