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Solve coupled equations involving a conjugate

The complex numbers w,zw,z satisfy wz=32i\dfrac wz=\dfrac32i and z∗−2w=4+4iz^*-2w=4+4i. Find ww and zz. marks

Review: [2013/RVHS/I/7]; Lecture Example 9: [2014/RVHS/Prelim/I/7(part)] (the printed sources disagree).

CJC · Review problems · Question 3

Replace w first; write the conjugate of x+iy as x−iy before expanding.

Read the worked solution