English Title

Observations about the roots of equations

Authors

Leonhard Euler

Enestrom Number

406

Fuss Index

112

Original Language

Latin

Published as

Journal article

Published Date

1771

Written Date

1771

Content Summary

According to Eneström, this work concerns the formula for the sum of the pth power of the roots of an nth-order algebraic equation. Euler also looks at the meaning of this formula when the sequence that occurs in it is continued to infinity. Additionally, he considers the solution of trinomial equations, along with the correlation between ordinary equations and differential equations.

Original Source Citation

Novi Commentarii academiae scientiarum Petropolitanae, Volume 15, pp. 51-74.

Opera Omnia Citation

Series 1, Volume 6, pp.263-286.

Record Created

2018-09-25

Included in

Mathematics Commons

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