Vieta’s Formula about the Sum of Roots of Polynomials
In the article we formalized in the Mizar system [2] the Vieta formula about the sum of roots of a polynomial anxn + an−1xn−1 + ··· + a1x + a0 defined over an algebraically closed field. The formula says that x1+x2+⋯+xn−1+xn=−an−1an$x_1 + x_2 + \cdots + x_{n - 1} + x_n = - {{a_{n - 1} } \over {a_n...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Sciendo
2017-07-01
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Series: | Formalized Mathematics |
Subjects: | |
Online Access: | https://doi.org/10.1515/forma-2017-0008 |