Question 122
For any real number $x$, let $A(x) = x^2 + 4\lfloor x \rfloor$.
a) Find the real numbers $x$ for which $A(x) = \{x\}^2$.
b) Find the real numbers $y \gt 0$ for which $A(y)$ is the square of a natural number.
a) Find the real numbers $x$ for which $A(x) = \{x\}^2$.
b) Find the real numbers $y \gt 0$ for which $A(y)$ is the square of a natural number.