Question

determine z tal que: (1-2i).z=5

Answer 1

(1-2i).z=5
isolando i
1-2i=5/z
2i=-5+z/z
i=-5+z/2z

substituindo i
(1-2i)z=5
(1-2(-5+z/2z))z=5
(1+10-2z/z)z=5
(10/2z)z=5
10z/2z=5
5z=5
z=1