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(6+5i)(6+5i)=x-yi     
Equality of Complex Numbers 

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Again, 2 complex numbers are equal IF and ONLY IF their real and their imaginary parts are equal:

(6 + 5i)^2 = x - yi
36 + 60 i + 5i^2 = x - yi
36 + 60 - 5 = x - yi
31 + 60i = x - yi

x = 31

60 = -y
y = -60