olymmath

JBMO-SL 2013 A2

  • Answer

Find the largest possible value of the expression ∣x2+4x+8−x2+8x+17∣\left|\sqrt{x^{2}+4 x+8}-\sqrt{x^{2}+8 x+17}\right| where xx is a real number.

Dataset text NuminaMath olympiads. Quoted with source.

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\sqrt{5}

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