1966 AHSME Problems/Problem 33

Problem

If $ab \ne 0$ and $|a| \ne |b|$ , the number of distinct values of $x$ satisfying the equation

$\frac{x-a}{b}+\frac{x-b}{a}=\frac{b}{x-a}+\frac{a}{x-b},$

is:

$\text{(A) zero} \quad \text{(B) one} \quad \text{(C) two} \quad \text{(D) three} \quad \text{(E) four}$

$\fbox{D}$

1966 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 32	Followed by Problem 34
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