Challenging INMO Algebra Problem: Find a^2 + b^2 with Complex Numbers

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Welcome to our Math Olympiad series! In this video, we present a complex algebra problem with a difficulty level similar to the Indian National Mathematics Olympiad (INMO). You'll be challenged to find the value of a^2 + b^2 for a given complex number z. Join us as we walk you through step-by-step solutions and advanced algebraic techniques to tackle this intriguing INMO-style problem. Sharpen your problem-solving skills and get ready to excel in the world of mathematical Olympiads!

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