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AHSME 1950 Problem 24

    The equation x+x−2=4x + \sqrt{x-2} = 4 has: (A) 2 real roots (B) 1 real and 1 imaginary root(C) 2 imaginary roots(D)  no roots(E) 1 real root\textbf{(A)}\ 2\text{ real roots } \textbf{(B)}\ 1\text{ real and}\ 1\text{ imaginary root} \textbf{(C)}\ 2\text{ imaginary roots} \textbf{(D)}\ \text{ no roots} \textbf{(E)}\ 1\text{ real root}

    Dataset text NuminaMath-1.5. Quoted with source.

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