olymmath

HMMT 2008 A1

  • Algebra

Positive real numbers x,yx, y satisfy the equations x2+y2=1x^{2}+y^{2}=1 and x4+y4=1718x^{4}+y^{4}=\frac{17}{18}. Find xyx y.

Dataset text NuminaMath olympiads. Quoted with source.

Also HMMT 2008 E4.

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

Similar problems

These problems have the most words in common with this statement.

Locator hmmt/2008/a1 · Tag VH1PYRKRSS · Edit this page on GitHub · Keys: j next, k previous