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MathNet 2017-part-07 — 172 problems (EN–VI) Question 107

Math Olympiad Vault · MathNet 2017-part-07 — 172 problems (EN–VI)

Question 107

Find the minimum possible value of
$$
\sqrt{58-42x} + \sqrt{149-140\sqrt{1-x^{2}}}
$$
where $-1 \leq x \leq 1$.