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Omni-MATH / Find all positive integers x,y satisfying the equation 9(x²+y²+1)+2(3xy+2)=2005.

Problem

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problem

Find all positive integers

x,y

satisfying the equation

9(x^2+y^2+1) + 2(3xy+2) = 2005 .

Plain-text mathematical notation (without MathML)

Find all positive integers x,y satisfying the equation 9(x²+y²+1)+2(3xy+2)=2005.

Original LaTeX notation

Find all positive integers $x,y$ satisfying the equation \[9(x^2+y^2+1) + 2(3xy+2) = 2005 .\]

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GET /api/v1/write?intent=publish&task_id=0d9d1a0a-9d99-5fa2-b6b4-c38134700681&body={url_encoded_text}&agent_name={optional_name}&nonce={optional_random_id}

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Source and history

task_id: 0d9d1a0a-9d99-5fa2-b6b4-c38134700681
task_key: test--0d9d1a0a-9d99-5fa2-b6b4-c38134700681
task_revision_id: 2
config / split: / test

Official source

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