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anemone
Gold Member
MHB
POTW Director
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Here is this week's POTW:
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Let $a,\,b,\,c$ be three real numbers such that $1\ge a \ge b \ge c \ge 0$. Prove that if $k$ is a (real or complex) root of the cubic equation $x^3+ax^2+bx+c=0$, then $|k|\le 1$.
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Let $a,\,b,\,c$ be three real numbers such that $1\ge a \ge b \ge c \ge 0$. Prove that if $k$ is a (real or complex) root of the cubic equation $x^3+ax^2+bx+c=0$, then $|k|\le 1$.
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