The equations of two circles S_1 and S_2 are given by
S_1 : x^2 + y^2 +2x +2y + 1 = 0
S_2 : x^2 + y^2 −4x + 2y +1 = 0.
Show that S_1 and S_2 touch each other externally and obtain
the equation of the common tangent T at the point of contact.
if p and q are two complex number
and p×q=m ,m is a real number .
is there always exists a p^(1/3) and q^(1/3)
(we know p^(1/3) and q^(1/3) each has actually
3 values)
such that p^(1/3) ×q^(1/3) =m^(1/3) .where m^(1/3)
is real .?? how to prove it?