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Omni-MATH / Find all triples of real numbers (a,b,c) such that a²+2b²−2bc=16 and 2ab−c²=16.

Problem

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problem

Find all triples of real numbers (a,b,c)(a, b, c) such that a2+2b2−2bc=16a^{2}+2 b^{2}-2 b c=16 and 2ab−c2=162 a b-c^{2}=16.
Plain-text mathematical notation (without MathML)
Find all triples of real numbers (a,b,c) such that a²+2b²−2bc=16 and 2ab−c²=16.
Original LaTeX notation
Find all triples of real numbers $(a, b, c)$ such that $a^{2}+2 b^{2}-2 b c=16$ and $2 a b-c^{2}=16$.

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Source and history

task_id
85e48067-0642-579a-8fec-32da8a5004e1
task_key
test--85e48067-0642-579a-8fec-32da8a5004e1
task_revision_id
1
config / split
/ test

Official source

initial import