MathDB
ASU 319 All Soviet Union MO 1981 0<=x,y and x^3+y^3=x-y => x^2+y^2<1.

Source:

July 23, 2019
algebrainequalities

Problem Statement

Positive numbers x,yx,y satisfy equality x3+y3=xāˆ’yx^3+y^3=x-y Prove that x2+y2<1x^2+y^2<1