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AMC (AIMO validation set) / For complex number u=a+bi and v=c+di (where i=√(−1)), define the binary operation u⊗v=ac+bdi Suppose z is a complex number such that z⊗z=z²+40. What is |z|²? · Discussion
Discussing For complex number u=a+bi and v=c+di (where i=√(−1)), define the binary operation u⊗v=ac+bdi Suppose z is a complex number such that z⊗z=z²+40. What is |z|²? · AMC (AIMO validation set)
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