1958 AHSME Problems/Problem 22

Problem

A particle is placed on the parabola $y = x^2- x -6$ at a point $P$ whose $y$ -coordinate is $6$ . It is allowed to roll along the parabola until it reaches the nearest point $Q$ whose $y$ -coordinate is $\minus{}6$ (Error compiling LaTeX. Unknown error_msg). The horizontal distance traveled by the particle (the numerical value of the difference in the $x$ -coordinates of $P$ and $Q$ ) is:

$\textbf{(A)}\ 5\qquad \textbf{(B)}\ 4\qquad \textbf{(C)}\ 3\qquad \textbf{(D)}\ 2\qquad \textbf{(E)}\ 1$

Solution

$\fbox{}$

1958 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 21	Followed by Problem 23
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1958 AHSME Problems/Problem 22

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