The quartic equation: invariants and Euler's solution revealed

@article{Nickalls2009TheQE,
  title={The quartic equation: invariants and Euler's solution revealed},
  author={R. W. D. Nickalls},
  journal={The Mathematical Gazette},
  year={2009},
  volume={93},
  pages={66 - 75}
}
  • R. Nickalls
  • Published 2009
  • Mathematics
  • The Mathematical Gazette
The central role of the resolvent cubic in the solution of the quartic was first appreciated by Leonard Euler (1707-1783). Euler's quartic solution first appeared as a brief section (§ 5) in a paper on roots of equations [1, 2], and was later expanded into a chapter entitled ‘Of a new method of resolving equations of the fourth degree’ (§§ 773-783) in his Elements of algebra [3,4]. 
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