Question 85
Find all real $a$, $b$, $c$, such that
$$
a^2 + b^2 + c^2 = 26, \quad a+b=5 \quad \text{and} \quad b+c \ge 7.
$$
$$
a^2 + b^2 + c^2 = 26, \quad a+b=5 \quad \text{and} \quad b+c \ge 7.
$$
MathNet 2013 Question 85
Math Olympiad Vault · MathNet 2013