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Home » لنفترض أن الجذور هي \( r_1 \) و \( r_2 \). - Get link 4share

لنفترض أن الجذور هي \( r_1 \) و \( r_2 \). - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 = \( 5,000 \times (1.01)^{12} \)

📌 = \( 5,000 \times 1.126825 \)

📌 ≈ $5,634.13

📌 #### $5,634.13Question: Let $ f(x) $ be a polynomial such that $ f(x) = x^4 - 6x^3 + 11x^2 - 6x + 1 $. Find the sum of the reciprocals of the roots of $ f(x) $.

📌 Solution: Let the roots of $ f(x) = x^4 - 6x^3 + 11x^2 - 6x + 1 $ be $ r_1, r_2, r_3, r_4 $. We are asked to find $ \sum_{i=1}^4 \frac{1}{r_i} = \frac{1}{r_1} + \frac{1}{r_2} + \frac{1}{r_3} + \frac{1}{r_4} $. Using the identity $ \sum \frac{1}{r_i} = \frac{\sum_{i<j<k} r_i r_j r_k}{r

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Evaluate from 0 to 2:
\( [x^3 + x^2]_0^2 = (2^3 + 2^2) - (0^3 + 0^2) = 8 + 4 - 0 = 12 \).
A circle is inscribed in a square with side length 10 cm. Find the are...
Radius of the circle = half the side of the square = 5 cm.
Area of the circle = \( \pi r^2 = \pi \times 5^2 = 25\pi \) square cm.
Therefore, the area is approximately \( 25 \times 3.1416 = 78.54 \) sq...
\( 3x + 2y = 16 \)
\( 5x - y = 9 \)
Multiply the second equation by 2 to eliminate \( y \):
\( 10x - 2y = 18 \).

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