Question 33
Determine all possible values of $\frac{1}{x}+\frac{1}{y}$ if $x$ and $y$ are real numbers (not equal to $0$) satisfying $x^{3}+y^{3}+3 x^{2} y^{2}=x^{3} y^{3}$.
MathNet 2017-part-04 — 176 problems (EN–VI) Question 33
Math Olympiad Vault · MathNet 2017-part-04 — 176 problems (EN–VI)