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Home » F. Equal electronegativity always results in polar bonds. - Appcentric

F. Equal electronegativity always results in polar bonds. - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 x^4 + 1 = x^4 + \frac{1}{x^4} \cdot x^4 = x^4 + 1 \Rightarrow \text{Still not helpful}

📌 Let’s try plugging values:

📌 Let $ x = \frac{5 + \sqrt{21}}{2} $, then $ x + \frac{1}{x} = 5 $. Compute numerically:

📌 x = \frac{5 + \sqrt{21}}{2} \approx \frac{5 + 4.583}{2} = \frac{9.583}{2} \approx 4.7915

📌 Then $ x^2 \approx 22.96 $, so:

📌 \frac{x^2 + 1}{x^2 - 1} + \frac{x^2 - 1}{x^2 + 1} \approx \frac{23.96}{21.96} + \frac{21.96}{23.96} \approx 1.093 + 0.917 = 2

📌 Final Answer:

🔥 Popular Posts

The perpendicular line through \((3, 4)\) is:
y - 4 = -\frac{1}{2}(x - 3)
\Rightarrow y = -\frac{1}{2}x + \frac{3}{2} + 4 = -\frac{1}{2}x + \fra...
Find intersection with \(y = 2x + 1\):
2x + 1 = -\frac{1}{2}x + \frac{11}{2}
Multiply both sides by 2:
4x + 2 = -x + 11
\Rightarrow 5x = 9 \Rightarrow x = \frac{9}{5}
y = 2 \cdot \frac{9}{5} + 1 = \frac{18}{5} + \frac{5}{5} = \frac{23}{5...
Thus, the closest point is \(\boxed{\left( \frac{9}{5}, \frac{23}{5} \...

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$$ 2(x + 2) + 3(x - 1) = (x - 1)(x + 2) $$
Expand:
$$ 2x + 4 + 3x - 3 = x^2 + 2x - x - 2 $$
Simplify left side:
$$ 5x + 1 = x^2 + x - 2 $$
Bring all terms to one side:
$$ 0 = x^2 - 4x - 3 $$
$$ x = \frac{4 \pm \sqrt{16 + 12}}{2} = \frac{4 \pm \sqrt{28}}{2} = 2...
The solutions are $ \boxed{2 + \sqrt{7}} $ and $ \boxed{2 - \sqrt{7}}...
Question: Rationalize the denominator of $ \frac{\sqrt{5}}{\sqrt{3} -...

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