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Home » Try \( x = 1 \) again â not zero. - Nurtured Nest

Try \( x = 1 \) again â not zero. - Nurtured Nest

📅 May 9, 2026 👤 scraface

May 09, 2026

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🔥 Popular Posts

Between $(0,0,0)$ and $(1,1,0)$: $\sqrt{2}$,
between $(0,0,0)$ and $(1,0,1)$: $\sqrt{2}$,
between $(0,0,0)$ and $(0,1,1)$: $\sqrt{2}$,
and between $(1,1,0)$ and $(1,0,1)$: $\sqrt{(0)^2 + (-1)^2 + (1)^2} =...
\boxed{(0, 1, 1)}
Question: Find all angles $z \in [0^\circ, 360^\circ]$ satisfying $2\s...
Solution: Let $u = \sin z$. The equation becomes $2u^2 - 3u + 1 = 0$....
u = \frac{3 \pm \sqrt{9 - 8}}{4} = \frac{3 \pm 1}{4} \implies u = 1 \t...
For $\sin z = 1$: $z = 90^\circ$.
For $\sin z = \frac{1}{2}$: $z = 30^\circ, 150^\circ$.

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