11.3. Solve the equation $\sqrt{2 x-1}+\sqrt[3]{x}=\sqrt[4]{17-x}$.
Answer: 1.

Solution. It is easy to verify that $x=1$ is a root of the equation.

Since the left side of the equation is an increasing function (as the sum of two increasing functions), and the right side is a decreasing function, there are no other roots.

Comment. The correct answer without proof of its uniqueness - 2 points.