- #1

lfdahl

Gold Member

MHB

- 749

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I am so sorry for having posted this challenge/puzzle with a serious typo:

The roots of the equation should be functions of $a, d$ and $e$. In my old version I wrote $a, b$ and $e$.

I will see to, that future challenges are properly debugged before posting.For $e \ne 0$, determine the roots of the equation $x^5+ax^4+bx^3+cx^2+dx+e = 0$

as functions of $a, d$ and $e$, given that the equation has two roots whose product is $1$ and

two other roots whose product is $−1$.

The roots of the equation should be functions of $a, d$ and $e$. In my old version I wrote $a, b$ and $e$.

I will see to, that future challenges are properly debugged before posting.For $e \ne 0$, determine the roots of the equation $x^5+ax^4+bx^3+cx^2+dx+e = 0$

as functions of $a, d$ and $e$, given that the equation has two roots whose product is $1$ and

two other roots whose product is $−1$.

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