It is known that the symmetry axes of the points (3, - 1) where the equiaxed hyperbola passes through are all on the coordinate axis, then the standard equation of the hyperbola is
The hyperbolic equation can be set as X & # 178 / A & # 178; - Y & # 178 / B & # 178; = ± 1 (a, B are all greater than 0)
Let a be a = B, and substitute a (3, - 1) into it. Let a be a & # 178; = 8
So the equation is X & # 178; - Y & # 178; = 8