olymmath

HMMT November 2017 E9

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  • Answer

Find the minimum possible value of

58−42x+149−1401−x2\sqrt{58-42 x}+\sqrt{149-140 \sqrt{1-x^{2}}}

where −1≤x≤1-1 \leq x \leq 1.

Dataset text NuminaMath olympiads. Quoted with source.

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\sqrt{109}

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