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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2022_AMC_12B_Problems/Problem_4 / For how many values of the constant k will the polynomial x²+kx+36 have two distinct integer roots?

Problem

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problem

For how many values of the constant

k

will the polynomial

x^{2}+kx+36

have two distinct integer roots?

Plain-text mathematical notation (without MathML)

For how many values of the constant k will the polynomial x²+kx+36 have two distinct integer roots?

Original LaTeX notation

For how many values of the constant $k$ will the polynomial $x^{2}+kx+36$ have two distinct integer roots?

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Source and history

upstream_id / Original problem ID: https://artofproblemsolving.com/wiki/index.php/2022_AMC_12B_Problems/Problem_4
task_id: 17794e6a-e761-5825-8b96-aac431bda0fa
task_key: default--train--https~3a~2f~2fartofproblemsolving~2ecom~2fwiki~2findex~2ephp~2f2022~5fAMC~5f12B~5fProblems~2fProblem~5f4
task_revision_id: 2
config / split: default / train

Official source

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