Find the sum of `2-3i,-5+3/2i and 1/2 -i`

Find the sum of : 2/3+5/3i, -2/3 i and (-5)/4-i .

Find the square roots of : ((2+3i)/(5-4i)+(2-3i)/(5+4i)) .

Find the values of x and y if : ((1+i)x-2i)/(3+i)+((2-3i)y +i)/(3-i) =i , where i=sqrt(-1)

Find theta such that (3+2i sin theta)/(1-2i sin theta) is purely real.

Find the conjugate of ((3-2i)(2+3i))/((1+ 2i)(2-i)) .

Perform the indicated operations and write the result in the form x + iy : (1- 2i) -i + (4- 7i)-2i + (5i + 3) .

Find the difference of the complex numbers : z_1=- 3 + 2i and z_2= 13-i .

Given : a + ib = 2-3i , find a and b.

If (5-3i)^2=a+ib then find the values of a and b.

Find the argument s of z_(1)=5+5i,z_(2)=-4+4i,z_(3)=-3-3i and z_(4)=2-2i, where i=sqrt(-1).