Question 74
Find all positive real numbers $a, b, c, d$ such that for all $x \in \mathbb{R}$,
$$
(a x+b)^{2016}+\left(x^{2}+c x+d\right)^{1008}=8(x-2)^{2016}
$$
$$
(a x+b)^{2016}+\left(x^{2}+c x+d\right)^{1008}=8(x-2)^{2016}
$$
MathNet 2016-part-03 — 184 problems (EN–VI) Question 74
Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)