A New Property of the Roots of an Equation

Tuhin Bose

doi:https://doi.org/10.14445/22315373/IJMTT-V59P538

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 59 | Number 4 | Year 2018 | Article Id. IJMTT-V59P538 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P538

A New Property of the Roots of an Equation

Tuhin Bose

Abstract

If all roots of the “n” degree equation a0x n+a1x (n-1)+a2x (n-2)+…+an =0[Where n∈ ℕ and a0 ,a1 ,…,an are real numbers] are real numbers then,(n-1)a1 2 ≥ 2na0a2

Keywords

Titu’s Lemma, Tchebycheff’s inequality,Roots,Equation

References

[1] Mathematics Today
[2] Internet

Citation :

Tuhin Bose, "A New Property of the Roots of an Equation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 4, pp. 274-275, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P538