olymmath

BALTIC-WAY 1994 Problem 3

  • Answer

Find the largest value of the expression

xy+x1−y2+y1−x2−(1−x2)(1−y2)x y+x \sqrt{1-y^{2}}+y \sqrt{1-x^{2}}-\sqrt{\left(1-x^{2}\right)\left(1-y^{2}\right)}

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\sqrt{2}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator baltic-way/1994/p3 · Tag 2PB0EY47AK · Edit this page on GitHub · Keys: j next, k previous