Difficult

# Extremal value problems: Very Difficult Problems with Solutions

Problem 1
Find the value of the positive real parameter a, for which the minimal value of the function $$f(x)=(a^2+1)x^2-2ax+10$$ in the interval $$x \in [0; \frac{1}{2}]$$ is $$f_{min}(x)=\frac{451}{50}$$
Difficult

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