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\[ a = 2b - 1 \] - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📝 Recent Posts

A rectangular garden measuring 20 meters by 15 meters is surrounded by...
Total length including path: \( 20 + 2x \), total width: \( 15 + 2x \)
Total area: \( (20 + 2x)(15 + 2x) = 504 \)
Expand: \( 300 + 40x + 30x + 4x^2 = 504 \)
\( 4x^2 + 70x + 300 = 504 \Rightarrow 4x^2 + 70x - 204 = 0 \)
Divide by 2: \( 2x^2 + 35x - 102 = 0 \)
\( x = rac{-35 \pm \sqrt{35^2 - 4(2)(-102)}}{2(2)} \)
\( x = rac{-35 \pm \sqrt{1225 + 816}}{4} = rac{-35 \pm \sqrt{2041}}{...
Approximate \( \sqrt{2041} pprox 45.18 \)
\( x = rac{-35 + 45.18}{4} = rac{10.18}{4} pprox 2.545 \)

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