1981 AHSME Problems/Problem 17
The function is not defined for , but, for all non-zero real numbers , . The equation is satisfied by
$\textbf{(A)}\ \text{exactly one real number}
\qquad \textbf{(B)}\ \text{exactly two real numbers}
\qquad\textbf{(C)}\ \text{no real numbers}\qquad \
\textbf{(D)}\ \text{infinitely many, but not all, non-zero real numbers}
\qquad\textbf{(E)}\ \text{all non-zero real numbers}$ (Error compiling LaTeX. Unknown error_msg)
Solution
Substitute with .