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OlympiadBench / 2359 / Let ⌊x⌋ represent the greatest integer which is less than or…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Let

\lfloor x\rfloor

represent the greatest integer which is less than or equal to

x

. For example,

\lfloor 3\rfloor=3,\lfloor 2.6\rfloor=2

. If

x

is positive and

x\lfloor x\rfloor=17

, what is the value of

x

Plain-text mathematical notation (without MathML)

Let ⌊x⌋ represent the greatest integer which is less than or equal to x. For example, ⌊3⌋=3,⌊2.6⌋=2. If x is positive and x⌊x⌋=17, what is the value of x ?

Original LaTeX notation

Let $\lfloor x\rfloor$ represent the greatest integer which is less than or equal to $x$. For example, $\lfloor 3\rfloor=3,\lfloor 2.6\rfloor=2$. If $x$ is positive and $x\lfloor x\rfloor=17$, what is the value of $x$ ?

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: 2359
task_id: 9a3e71b2-4bb0-5d2f-96d0-543827674f51
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2359
task_revision_id: 3
config / split: OE_TO_maths_en_COMP / train

Official source

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