SOLUTION: Please help me solve this equation: { { { sqrt ( z ) = (2/3-2i) + 2 + 5i } } }

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Question 572316: Please help me solve this equation: { { { sqrt ( z ) = (2/3-2i) + 2 + 5i } } }
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this equation:
Is this the problem you had in mind?
sqrt%28z%29+=+2%2F%283-2i%29+%2B+2+%2B+5i
then multiply by (3-2i), resulting in
%283-2i%29%2Asqrt%28z%29+=+2+%2B+2%283-2i%29+%2B+5i%283-2i%29
combine like terms on the right
%283-2i%29%2Asqrt%28z%29+=+2+%2B+6+-+4i+%2B+15i+-+10i%5E2
:
%283-2i%29%2Asqrt%28z%29+=+8+%2B+11i+-+10%28-1%29
:
%283-2i%29%2Asqrt%28z%29+=+8+%2B+11i+%2B+10
:
%283-2i%29%2Asqrt%28z%29+=+18+%2B+11i
divide both sides by (3-2i)
sqrt%28z%29+=+%2818+%2B+11i%29%2F%283-2i%29
Square both sides
z = %28%2818+%2B+11i%29%2F%283-2i%29%29%5E2