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MATH / There exist several positive integers x such that (1)/(x²+x) is a terminating decimal. What is the second smallest such integer?

Problem

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problem

There exist several positive integers xx such that 1x2+x\frac{1}{x^2+x} is a terminating decimal. What is the second smallest such integer?
Plain-text mathematical notation (without MathML)
There exist several positive integers x such that (1)/(x²+x) is a terminating decimal. What is the second smallest such integer?
Original LaTeX notation
There exist several positive integers $x$ such that $\frac{1}{x^2+x}$ is a terminating decimal. What is the second smallest such integer?

level

Level 4

type

Number Theory

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Source and history

task_id
ff45498b-c56c-5f50-866e-ab548c3ecace
task_key
number~5ftheory--test--ff45498b-c56c-5f50-866e-ab548c3ecace
task_revision_id
1
config / split
number_theory / test

Official source

initial import