Question 49
Let $n$ be a natural number. Find all real numbers $x$ that solve the equation
$$
2^{n}(-x)^{n}+(-1)^{3 n+1} 2^{n+1} x^{n-1}(2 x+1)-(-2 x)^{n+1}=0
$$
$$
2^{n}(-x)^{n}+(-1)^{3 n+1} 2^{n+1} x^{n-1}(2 x+1)-(-2 x)^{n+1}=0
$$
MathNet 2017-part-06 — 176 problems (EN–VI) Question 49
Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)