Question 151
Find the largest value of $x - y$, where $x$, $y$, $z$ are real numbers satisfying the following two conditions
$$
x + y + z = 2, \quad xy + yz + zx = 1.
$$
$$
x + y + z = 2, \quad xy + yz + zx = 1.
$$
MathNet 2022-part-05 — 197 problems (EN–VI) Question 151
Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)