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- 74 = 2xy - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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So, \( x = \frac{12 \pm \sqrt{36}}{6} = \frac{12 \pm 6}{6} \).
This gives \( x = \frac{18}{6} = 3 \) and \( x = \frac{6}{6} = 1 \).
The formula for the sum is \( S = \frac{n(n+1)}{2} \).
Set \( \frac{n(n+1)}{2} = 210 \). Multiply through by 2: \( n(n+1) = 4...
Solve the quadratic equation: \( n^2 + n - 420 = 0 \).
Using the quadratic formula: \( n = \frac{-1 \pm \sqrt{1 + 4 \times 42...
Since \( \sqrt{1681} = 41 \), \( n = \frac{-1 + 41}{2} = 20 \) (only p...
#### n = 20
A cylinder has a height of 12 cm and a radius of 3 cm. Calculate its v...
Substituting the given values, \( V = 3.14 \times 3^2 \times 12 = 3.14...

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The denominator simplifies using the difference of squares:
R = \frac{4(\sqrt{x} - 2)}{x - 4}
\boxed{\frac{4(\sqrt{x} - 2)}{x - 4}}
Question:** A patent attorney is reviewing a patent that involves a fo...
We know the identity:
p^3 + q^3 = (p+q)(p^2 - pq + q^2)
Given \( p+q = 10 \) and \( p^2 + q^2 = 58 \), we first find \( pq \)...
10^2 = 58 + 2pq
= 58 + 2pq
2pq = 42 \quad \Rightarrow \quad pq = 21

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