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AHSME 1962 Problem 34

    For what real values of KK does x=K2(x−1)(x−2)x = K^2 (x-1)(x-2) have real roots? (A) none(B) −21 or K<−2(E) all\textbf{(A)}\ \text{none} \textbf{(B)}\ -21\text{ or }K<-2 \textbf{(E)}\ \text{all}

    Dataset text NuminaMath-1.5. Quoted with source.

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    E

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