Hello, I have a ciphering question that asks the following:
Two distinct complex numbers are such that each is the square of the other. Find the two complex numbers.
My initial thoughts were to use a+bi in something like (a+bi)^2=a^2+2abi-b^2 and hope that something would cancel, but I can't find anything. I know there must be a trick for this, because it's supposed to be solved in under a minute. Any tips, or hints would be great!
Two distinct complex numbers are such that each is the square of the other. Find the two complex numbers.
My initial thoughts were to use a+bi in something like (a+bi)^2=a^2+2abi-b^2 and hope that something would cancel, but I can't find anything. I know there must be a trick for this, because it's supposed to be solved in under a minute. Any tips, or hints would be great!
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