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Home » The function can be expressed in factored form based on the roots: - DNSFLEX

The function can be expressed in factored form based on the roots: - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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x^2 - 2x + 1 + y^2 + z^2 = 1 \quad \Rightarrow \quad x^2 + y^2 + z^2 -...
Since \(x^2 + y^2 + z^2 = 1\), we have:
- 2x + 1 = 1 \quad \Rightarrow \quad 2 - 2x = 1 \quad \Rightarrow \qua...
Since \(x\) must be an integer, this is not possible. Re-evaluate usin...
Try \((\frac{1}{2}, \frac{1}{2}, \frac{\sqrt{2}}{2})\) scaled to integ...
Verify distances:
\sqrt{\left(1 - 0\right)^2 + \left(1 - 0\right)^2 + \left(1 - 0\right)...
Not 1, but symmetry suggests closest integer: \((1, 1, 1)\).
Thus, the coordinates of the fourth vertex are:
\boxed{(1, 1, 1)}

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