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AHSME 1960 Problem 28

    The equation x−7x−3=3−7x−3x-\frac{7}{x-3}=3-\frac{7}{x-3} has: (A) infinitely many integral roots(B) no root(C) one integral root\textbf{(A)}\ \text{infinitely many integral roots} \textbf{(B)}\ \text{no root} \textbf{(C)}\ \text{one integral root} (D) two equal integral roots(E) two equal non-integral roots\textbf{(D)}\ \text{two equal integral roots} \textbf{(E)}\ \text{two equal non-integral roots}

    Dataset text NuminaMath-1.5. Quoted with source.

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