Question 1184486
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The hyperbola is centered at the origin of the coordinate system.


Its transverse semi-axis is  8/2 = 4 units along x-axis

and conjugate semi-axis is  10/2 = 5 units long.


So the sought equation of the hyperbola is


    {{{x^2/4^2}}} - {{{y^2/5^2}}} = 1.
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Solved.