Solve the equation `|z|=z+1+2i`

Verified by Experts

The correct Answer is:

`(3)/(2)-2i`

Similar Questions

Explore conceptually related problems

Solve the equation for x, y, z and t , if 2[[x, z],[ y, t]]+3[[1, -1],[ 0, 2]]=3[[3 , 5 ],[ 4, 6]]

Solve the equation for x,y,z and t, if 2[[x,z],[y,t]]+3[[1,-1],[0,2]]=3[[3,5],[4,6]]

Let the complex number z satisfy the equation |z+4i|=3 . Then the greatest and least values of |z+3| are

If A=[[3,-2,3],[2,1,-1],[4,-3,2]] Solve the linear equations 3x-2y+3z=8 2x+y-z=1 4x-3y+2z=4

Solve the system of equations using matrix method. x+y+z=1 , 2x+3y-z=6 , x-y+z=-1

Solve the system of equations x-y+z=4 , 2x+y-3z=0 , x+y+z=2 Using matrix method

If z_(1) and z_(2) are two complex numbers satisfying the equation |(z_(1) + iz_(2))/(z_(1)-iz_(2))|=1 , then (z_(1))/(z_(2)) is

Solve the system of equations using matrix method. 2 x+y+z=1 , x-2 y-z=3/2, 3 y-5 z=9

If A=[[2,-3,5],[3,2,-4],[1,1,-2]] Using it solve the system of equations 2x-3y+5z=16 3x+2y-4z=-4 x+y-2z=-3