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Home » Shocking Historical Rhyme Found: Lizzie Borden’s Poem That Changed Everything - Abu Waleed Tea

Shocking Historical Rhyme Found: Lizzie Borden’s Poem That Changed Everything - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 z = 270^\circ

📌 وبالتالي، الحلول في $[0^\circ, 360^\circ]$ هي:

📌 \boxed{30^\circ}, \boxed{150^\circ}, \text{و} \boxed{270^\circ}

📌 الإجابة النهائية:** الزوايا هي $\boxed{30^\circ}$, $\boxed{150^\circ}$, و $\boxed{270^\circ}$.

📌 السؤال: من بين جميع جذور المعادلة $z^4 - z^2 + 1 = 0$, يمكن التعبير عن الجزء التخيلي الأكبر من جذر على شكل $\sin \theta$, حيث $\theta \in [0^\circ, 90^\circ]$. أوجد $\theta$.

📌 z^4 - z^2 + 1 = 0

📌 لنفترض $w = z^2$, إذن:

📌 w^2 - w + 1 = 0 \implies w = \frac{1 \pm \sqrt{1 - 4}}{2} = \frac{1 \pm i\sqrt{3}}{2}

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\( x = 240 / 6.1051 \approx 39.32 \)
Since the model allows decimals in intermediate steps, but gestures ar...
#### 39.32
But to match format, report precise value as per calculation.
Wait — better: use exact fraction.
\( 1.1 = 11/10 \), so \( r = 11/10 \)
\( r^5 = (11/10)^5 = 161051 / 100000 = 1.61051 \)
Sum = \( \frac{1 - 1.61051}{1 - 1.1} = \frac{-0.61051}{-0.1} = 6.1051...
So \( x = 240 / 6.1051 = 24000000 / 610510 ≈ 3932 / 100.051 ≈ 39.32 \)...
\( x = 240 / 6.1051 ≈ 39.32 \)

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