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MATH / Let a be a positive real number such that all the roots of

Problem

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problem

Let aa be a positive real number such that all the roots of x3+ax2+ax+1=0x^3 + ax^2 + ax + 1 = 0are real. Find the smallest possible value of a.a.
Plain-text mathematical notation (without MathML)
Let a be a positive real number such that all the roots of
x³+ax²+ax+1=0are real.  Find the smallest possible value of a.
Original LaTeX notation
Let $a$ be a positive real number such that all the roots of
\[x^3 + ax^2 + ax + 1 = 0\]are real.  Find the smallest possible value of $a.$

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
783a7527-3cd9-5528-8917-9edb52c8616d
task_key
intermediate~5falgebra--test--783a7527-3cd9-5528-8917-9edb52c8616d
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import