35. Find all positive solutions of the equation

$$
x^{1986} + 1986^{1985} = x^{1985} + 1986^{1988}
$$
86.35. Let's rewrite the equation as $x^{1985}(x-1)=$ $=1986^{1985}(1986-1)$. Since $x=1986$ is a solution to the equation, and the left side is an increasing function for $x>1$, there are no other solutions.