Question

A hyperbola passes through the point of intersection of the lines 7x+13y=87 and 5x-8y=-7 and its latus rectum is 32√2/5. Find the equation of the hyperbola in standard form

Answer 1

$\frac{ {x}^{2} }{20} - \frac{ {y}^{2} }{32} = 1$