Question 115
Determine the positive integers $a, b, c$ which satisfy the equality:
$$
\frac{a+b}{2} + \frac{a^2+b^2}{2} = \frac{7c+1}{c+1}.
$$
$$
\frac{a+b}{2} + \frac{a^2+b^2}{2} = \frac{7c+1}{c+1}.
$$
MathNet 2018-part-04 — 181 problems (EN–VI) Question 115
Math Olympiad Vault · MathNet 2018-part-04 — 181 problems (EN–VI)