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A hyperbola has one of its foci at $(3, 2),$ and the vertex of the hyperbola closer to this focus is at $(4, 2).$ One of the asymptotes of the hyperbola has slope $\frac{\sqrt2}{2}.$ Find the $x-$coordinate of the center of the hyperbola.

 Mar 10, 2021
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The x-coordinate of the center is 2 + sqrt(5).

 Mar 21, 2021

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