Question 122
Let $m$ be a positive integer. Find the number of the real solutions of the equation
$$
\left| \sum_{k=0}^{m} \binom{2m}{2k} x^k \right| = |x - 1|^m.
$$
$$
\left| \sum_{k=0}^{m} \binom{2m}{2k} x^k \right| = |x - 1|^m.
$$
MathNet 2019-part-05 — 184 problems (EN–VI) Question 122
Math Olympiad Vault · MathNet 2019-part-05 — 184 problems (EN–VI)