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Home » eq 0\), we can divide both sides by \(\cos(z)\): - Crankk.io

eq 0\), we can divide both sides by \(\cos(z)\): - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Simplify and solve for \( w \): \( 2(4w) = 64 \), \( 8w = 64 \), \( w = 8 \).

📌 So, the width is 8 meters and the length is \( 3 \times 8 = 24 \) meters.

📌 Let the first integer be \( n \). Then the next consecutive integer is \( n + 1 \).

📌 The equation is \( n^2 + (n + 1)^2 = 85 \).

📌 Expand and simplify: \( n^2 + n^2 + 2n + 1 = 85 \), \( 2n^2 + 2n + 1 = 85 \).

📌 Subtract 85 from both sides: \( 2n^2 + 2n + 1 - 85 = 0 \), \( 2n^2 + 2n - 84 = 0 \).

📌 Divide the whole equation by 2: \( n^2 + n - 42 = 0 \).

📌 Factor the quadratic: \( (n + 7)(n - 6) = 0 \).

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