Question 121
Prove that positive real numbers $x$ and $y$ such that
$$(x^3 + y^3)(x^2 + y^2) = 2(x + y) = 2$$
do not exist. (Tamara Srnec)
$$(x^3 + y^3)(x^2 + y^2) = 2(x + y) = 2$$
do not exist. (Tamara Srnec)
MathNet 2019-part-02 — 184 problems (EN–VI) Question 121
Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)