Question 43
Find all real numbers $x$ such that
$$
\left[x^{2}+2x\right] = [x]^{2} + 2[x]
$$
(Here $[x]$ denotes the largest integer not exceeding $x$.)
$$
\left[x^{2}+2x\right] = [x]^{2} + 2[x]
$$
(Here $[x]$ denotes the largest integer not exceeding $x$.)