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OlympiadBench / 2345 / If ((x−2013)(y−2014))/((x−2013)²+(y−2014)²)=−(1)/(2), what is…

Problem

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question

\frac{(x-2013)(y-2014)}{(x-2013)^{2}+(y-2014)^{2}}=-\frac{1}{2}

, what is the value of

x+y

Plain-text mathematical notation (without MathML)

If ((x−2013)(y−2014))/((x−2013)²+(y−2014)²)=−(1)/(2), what is the value of x+y ?

Original LaTeX notation

If $\frac{(x-2013)(y-2014)}{(x-2013)^{2}+(y-2014)^{2}}=-\frac{1}{2}$, what is the value of $x+y$ ?

answer type

Numerical

is multiple answer

false

language

English

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 2345
task_id: adf4a21e-932e-5a47-9782-4d037432705b
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2345
task_revision_id: 3
config / split: OE_TO_maths_en_COMP / train

Official source

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