Solve |z|+z=2+i
Dear Student,
Let z = x + iy
=
+ z = 2 + i
+ x + iy = 2 + i
Therefore, y = 2 and + x = 2
+ x = 2
= 2 - x
Squaring both sides
x2 + 4 = 4 - 4x + x2
0 = - 4x
x = 0
Hence, z = 2i
Regards
Let z = x + iy
=
+ z = 2 + i
+ x + iy = 2 + i
Therefore, y = 2 and + x = 2
+ x = 2
= 2 - x
Squaring both sides
x2 + 4 = 4 - 4x + x2
0 = - 4x
x = 0
Hence, z = 2i
Regards