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OlympiadBench / 2243 / Determine, with justification, all values of k for which y=x²−4 and…

Problem

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

question

Determine, with justification, all values of kk for which y=x2−4y=x^{2}-4 and y=2|x|+ky=2|x|+k do not intersect.
Plain-text mathematical notation (without MathML)
Determine, with justification, all values of k for which y=x²−4 and y=2|x|+k do not intersect.
Original LaTeX notation
Determine, with justification, all values of $k$ for which $y=x^{2}-4$ and $y=2|x|+k$ do not intersect.

answer type

Interval

is multiple answer

false

language

English

question type

Open-ended

subject

Math

Discussion

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Source and history

upstream_id / Original problem ID
2243
task_id
38c3b7c1-9937-50ed-bc0a-95cc9be57c49
task_key
OE~5fTO~5fmaths~5fen~5fCOMP--train--2243
task_revision_id
4
config / split
OE_TO_maths_en_COMP / train

Official source

initial import