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Find a Cartesian equation for a hyperbola given its asymptotes and a point on the curve

Consider a hyperbola with asymptotes given by the lines

    \[ 2x - y = 0 \qquad \text{and} \qquad 2x+y = 0. \]

Find a Cartesian equation for this hyperbola if it passes through the point (3,-5).


Incomplete.

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