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my sheep know my voice - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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Since \( w = z^2 \), we have:
z^2 = -2 \Rightarrow z = \pm \sqrt{-2} = \pm i\sqrt{2}
So the solutions are \( z = i\sqrt{2} \) and \( z = -i\sqrt{2} \). Eac...
But wait — \( z^2 = -2 \) has exactly two solutions in \( \mathbb{C} \...
z = \sqrt{2}i, \quad z = -\sqrt{2}i
These are distinct and purely imaginary. The real part of each is 0.
Thus, the sum of the real parts is:
+ 0 = 0
Even though there are four roots? Let's double-check factorization.
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