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Omni-MATH / Determine the number of integers D such that whenever a and b are both real numbers with −1/4<a,b<1/4, then |a²−Db²|<1.

Problem

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problem

Determine the number of integers DD such that whenever aa and bb are both real numbers with −1/4<a,b<1/4-1 / 4<a, b<1 / 4, then |a2−Db2|<1\left|a^{2}-D b^{2}\right|<1.
Plain-text mathematical notation (without MathML)
Determine the number of integers D such that whenever a and b are both real numbers with −1/4<a,b<1/4, then |a²−Db²|<1.
Original LaTeX notation
Determine the number of integers $D$ such that whenever $a$ and $b$ are both real numbers with $-1 / 4<a, b<1 / 4$, then $\left|a^{2}-D b^{2}\right|<1$.

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Source and history

task_id
0fbab160-3c4f-5e75-8e4d-de243c3acf6e
task_key
test--0fbab160-3c4f-5e75-8e4d-de243c3acf6e
task_revision_id
1
config / split
/ test

Official source

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