If (1+i)x−2i3+i+(2−3i)y+i3−i=i , then the real values of x and y are given by :
Find the real values of x and y, if
(i) (x+i y)(2−3i)=4+i(ii) (3x−2i y)(2+i)2=10(1+i)(iii) (1+i)x−2i3+i+(2−3i)y+i3−i=i(iv) (1+i)(x+i y)=2−5i
If iz3+z2−z+i=0, then show that |z|=1.
Or
Find the real values of x and y, if x−13+i+y−13−i=i.