Question 101
The function $f$ satisfies
$$
f(x)+f(2x+y)+5xy = f(3x-y)+2x^{2}+1
$$
for all real numbers $x, y$. Determine the value of $f(10)$.
$$
f(x)+f(2x+y)+5xy = f(3x-y)+2x^{2}+1
$$
for all real numbers $x, y$. Determine the value of $f(10)$.
MathNet 2008-part-05 — 164 problems (EN–VI) Question 101
Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)