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OlympiadBench / 2292 / Suppose that a=5 and b=4. Determine all pairs of integers (K,L) for which…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Suppose that a=5a=5 and b=4b=4. Determine all pairs of integers (K,L)(K, L) for which K2+3L2=a2+b2−abK^{2}+3 L^{2}=a^{2}+b^{2}-a b.
Plain-text mathematical notation (without MathML)
Suppose that a=5 and b=4. Determine all pairs of integers (K,L) for which K²+3L²=a²+b²−ab.
Original LaTeX notation
Suppose that $a=5$ and $b=4$. Determine all pairs of integers $(K, L)$ for which $K^{2}+3 L^{2}=a^{2}+b^{2}-a b$.

answer type

Tuple

is multiple answer

true

language

English

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID
2292
task_id
221a1403-4140-535d-b152-258b8c9ef3bb
task_key
OE~5fTO~5fmaths~5fen~5fCOMP--train--2292
task_revision_id
4
config / split
OE_TO_maths_en_COMP / train

Official source

initial import