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nydus/Elements of arithmeticPublic
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Table of Contents

APPENDIX XI. ON HORNER’S METHOD OF SOLVING EQUATIONS.

    1. x³ + 3x² - 4x - 10 = 0
  • x = 1·895694916504.
    1. x³ + 100x² - 5x - 2173 = 0
  • x = 4·582246071058464.
  • _
    1. ∛2 = 1·259921049894873164767210607278.59
    1. x³ - 6x = 100
  • x = 5·071351748731.
    1. x³ + 2x² + 3x = 300
  • x = 5·95525967122398.
    1. x³ + x = 1000
  • x = 9·96666679.
    1. 27000x³ + 27000x = 26999999
  • x = 9·9666666.....
    1. x³ - 6x = 100
  • x = 5·0713517487.
    1. x⁵ - 4x⁴ + 7x³ - 863 = 0
  • x = 4·5195507.
    1. x³ - 20x + 8 = 0
  • x = 4·66003769300087278.
    1. x³ + x² + x - 10 = 0
  • x = 1·737370233.
    1. x³ - 46x² - 36x + 18 = 0
  • x = 46·7616301847,
  • or x = ·3471623192.
    1. x³ + 46x² - 36x - 18 = 0
  • x = 1·1087925037.
    1. 8991x³ - 162838x² + 746271x - 81000 = 0
  • x = ·111222333444555....
    1. 729x³ - 486x² + 99x - 6 = 0
  • x = ·1111..., or ·2222..., or ·3333....
    1. 2x³ + 3x² - 4x = 500
  • x = 5·93481796231515279.
    1. x³ + 2x² + x - 150 = 0
  • x = 4·6684090145541983253742991201705899.
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