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Home » Simplify: \(14x = 43\). - Get link 4share

Simplify: \(14x = 43\). - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 4x² + 460x - 3,000 = 0

📌 Using the quadratic formula: \( x = \frac{-460 \pm \sqrt{460^2 - 4 \times 4 \times (-3,000)}}{2 \times 4} \)

📌 \( x = \frac{-460 \pm \sqrt{211,600 + 48,000}}{8} \)

📌 \( x = \frac{-460 \pm \sqrt{259,600}}{8} \)

📌 \( x = \frac{-460 \pm 509.5}{8} \)

📌 \( x = \frac{49.5}{8} = 6.1875 \)

📌 #### 6.1875

📌 Question:** A tank contains 500 liters of a 30% salt solution. How much pure water must be added to reduce the concentration to 20%?

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The sum of two numbers is 20, and their product is 96. What is the lar...
Let the numbers be \( x \) and \( 20 - x \).
Then \( x(20 - x) = 96 \).
\( 20x - x^2 = 96 \) → \( x^2 - 20x + 96 = 0 \).
Factoring: \( (x - 12)(x - 8) = 0 \) → \( x = 12 \) or \( x = 8 \).
The larger number is 12.
A circle has a circumference of \( 10\pi \) units. What is the area of...
Circumference \( = 2\pi r = 10\pi \) → \( r = 5 \).
The diagonal of the inscribed square equals the diameter: \( 2r = 10 \...
Let side of square be \( s \). Then \( s\sqrt{2} = 10 \) → \( s = \fra...

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