1952 AHSME Problems/Problem 47

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Problem

In the set of equations $z^x = y^{2x},\quad 2^z = 2\cdot4^x, \quadx + y + z = 16$ (Error compiling LaTeX. Unknown error_msg), the integral roots in the order $x,y,z$ are:

$\textbf{(A) } 3,4,9 \qquad \textbf{(B) } 9,-5,-12 \qquad \textbf{(C) } 12,-5,9 \qquad \textbf{(D) } 4,3,9 \qquad \textbf{(E) } 4,9,3$

Solution

$\fbox{}$

See also

1952 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 46
Followed by
Problem 48
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