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Home » Question:** What is the base-ten number represented by the base-six number \(5432_6\)? - Carbonext

Question:** What is the base-ten number represented by the base-six number \(5432_6\)? - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Actually, solving \( 2x^2 + 35x - 102 = 0 \):

📌 Try rational roots or accept approximation.

📌 Use exact discriminant:

📌 \( \sqrt{2041} \) is irrational. But check possible integer value: try \( x = 3 \):

📌 \( (26)(21) = 546 > 504 \). Try \( x = 2 \):

📌 \( (20+4)(15+4) = 24 imes 19 = 456 < 504 \)

📌 \( x = 2.5 \): \( 25 imes 20 = 500 pprox 504 \)

📌 \( x = 2.54 \): \( 20.54 + 4 = 24.54 \), \( 15.54 + 4 = 19.54 \), \( 24.54 imes 19.54 pprox 480 \) â too low

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