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Home » Divide by 2: \( n^2 + 2n - 110 = 0 \). - Londonproperty

Divide by 2: \( n^2 + 2n - 110 = 0 \). - Londonproperty

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 After 2nd pass: \( 700 \times 0.7 = 490 \)

📌 After 3rd pass: \( 490 \times 0.7 = 343 \)

📌 After 4th pass: \( 343 \times 0.7 = 240.1 \)

📌 #### 240.1

📌 Question:** An extreme environment researcher measures temperature drop in a glacier, decreasing by 25% every hour. If the initial temperature is –8°C, what is it after 3 hours?

📌 Solution:** Each hour retains 75% of the temperature.

📌 After 1 hour: \( -8 \times 0.75 = -6 \)°C

📌 After 2 hours: \( -6 \times 0.75 = -4.5 \)°C

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\frac{140}{6} + c = -4 \implies \frac{70}{3} + c = -4
c = -4 - \frac{70}{3} = -\frac{12}{3} - \frac{70}{3} = -\frac{82}{3}
Finally, substitute \( a \), \( b \), and \( c \) into the first equat...
-\frac{7}{6} + \frac{21}{2} - \frac{82}{3} + d = 3
-\frac{7}{6} + \frac{63}{6} - \frac{164}{6} + d = 3
-\frac{108}{6} + d = 3 \implies -18 + d = 3 \implies d = 21
Thus, the polynomial is:
f(x) = -\frac{7}{6}x^3 + \frac{21}{2}x^2 - \frac{82}{3}x + 21
\boxed{-\frac{7}{6}x^3 + \frac{21}{2}x^2 - \frac{82}{3}x + 21}
Let \( a \) and \( b \) be complex numbers such that \( a + b = 4 + 2i...

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