Show by calculation that the point \(P(-9,-3)\) lies inside the circle \[x^2+y^2+4x-8y-80=0.\]

Find the equations of the two circles which pass through \(P\), touch the given circle, and have radii of 5 units.

Show by calculation that the point \(P(-9,-3)\) lies inside the circle \[x^2+y^2+4x-8y-80=0.\]

Find the equations of the two circles which pass through \(P\), touch the given circle, and have radii of 5 units.