- #1
anemone
Gold Member
MHB
POTW Director
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Here is this week's POTW:
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Determine all triples of real numbers $(a,\,b,\,c)$ such that
$abc=8\\ a^2b+b^2a+c^2a=73\\a(b-c)^2+b(c-a)^2+c(a-b)^2=98$
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Determine all triples of real numbers $(a,\,b,\,c)$ such that
$abc=8\\ a^2b+b^2a+c^2a=73\\a(b-c)^2+b(c-a)^2+c(a-b)^2=98$
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