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Omni-MATH / Let r,s,t be the solutions to the equation x³+ax²+bx+c=0. What is the value of (rs)²+(st)²+(rt)² in terms of a,b, and c ?

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problem

Let r,s,tr, s, t be the solutions to the equation x3+ax2+bx+c=0x^{3}+a x^{2}+b x+c=0. What is the value of (rs)2+(st)2+(rt)2(r s)^{2}+(s t)^{2}+(r t)^{2} in terms of a,ba, b, and $c ?$
Plain-text mathematical notation (without MathML)
Let r,s,t be the solutions to the equation x³+ax²+bx+c=0. What is the value of (rs)²+(st)²+(rt)² in terms of a,b, and $c ?$
Original LaTeX notation
Let $r, s, t$ be the solutions to the equation $x^{3}+a x^{2}+b x+c=0$. What is the value of $(r s)^{2}+(s t)^{2}+(r t)^{2}$ in terms of $a, b$, and $c ?$

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Source and history

task_id
38cebdd3-5750-53a1-861b-0779e469f23b
task_key
test--38cebdd3-5750-53a1-861b-0779e469f23b
task_revision_id
1
config / split
/ test

Official source

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