Determine eqn of cylinder circumscribed to beads e1, e2

[Apprentice123]

To determine the equation of the cylinder circumscribed to the beads: \(\displaystyle (e1)x-2)^2+(y-1)^2+z^2=25\) and $\displaystyle (e2):x^2+y^2+z^2=25$

Answer:
$\displaystyle x^2+4y^2+5z^2-4xy-125=0$