Question 71
Prove that no rational number $x$ satisfies the equality $\{x^2\} + \{x\} = 1$. Find at least one real number $x$ that satisfies the equality.
Note: $\{x\} = x - \lfloor x \rfloor$ where $\lfloor x \rfloor$ is the largest integer not greater than $x$.
Note: $\{x\} = x - \lfloor x \rfloor$ where $\lfloor x \rfloor$ is the largest integer not greater than $x$.