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OlympiadBench / 2326 / Determine all integers k, with k≠0, for which the parabola with…

Problem

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

answer type

Numerical

is multiple answer

true

language

English

question

Determine all integers

k

, with

k \neq 0

, for which the parabola with equation

y=k x^{2}+6 x+k

has two distinct

x

-intercepts.

Plain-text mathematical notation (without MathML)

Determine all integers k, with k≠0, for which the parabola with equation y=kx²+6x+k has two distinct x-intercepts.

Original LaTeX notation

Determine all integers $k$, with $k \neq 0$, for which the parabola with equation $y=k x^{2}+6 x+k$ has two distinct $x$-intercepts.

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 2326
task_id: 2975736c-5486-5dcf-93ee-1e86c9e089e1
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2326
task_revision_id: 1
config / split: OE_TO_maths_en_COMP / train

Official source

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