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🤯 Stumped by √x + √(-x) = 12? This equation looks like a simple algebra problem, but it leads us into the fascinating world of complex numbers! In this video, we'll break down why this equation has no real number solutions and discover the beautiful complex number solution that makes it all work. We'll cover: 1. The initial setup and why assuming x is a positive real number fails. 2. The key insight: letting x be a negative real number also doesn't work. 3. Introducing i (the imaginary unit) to handle √(-x). 4. Solving step-by-step in the complex number system. 5. Unveiling the final, surprising answer for x. Spoiler Alert: The solution isn't a regular number on the real line! You'll need to think in the complex plane. Remember to: ✔LIKE if you enjoyed the puzzle! ✔SUBSCRIBE for more mind-bending math content every week. ✔COMMENT below with your guess before the solution or another "impossible" equation you'd like us to solve! Follow for more math mysteries! #maths #olimpiadasmatematicas #squareroot #mathsolympiad #mathstricks #mathematics #education #algebra