there is a smallest positive real number $a$ such that there exists a positive real number $b$ such that all the roots of the polynomial $x^3-ax^2 bx-a$ are real. in fact, for this value of $a$ the value of $b$ is unique. what is the value of $b?$

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Mosoete2020 Mosoete2020

05-10-2022
Mathematics

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there is a smallest positive real number $a$ such that there exists a positive real number $b$ such that all the roots of the polynomial $x^3-ax^2 bx-a$ are real. in fact, for this value of $a$ the value of $b$ is unique. what is the value of $b?$

Sagot :

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there is a smallest positive real number $a$ such that there exists a positive real number $b$ such that all the roots of the polynomial $x^3-ax^2 bx-a$ are real. in fact, for this value of $a$ the value of $b$ is unique. what is the value of $b?$

Sagot :

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