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Omni-MATH / Determine all real numbers a such that the inequality |x²+2ax+3a|≤2 has exactly one solution in x.

Problem

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problem

Determine all real numbers aa such that the inequality |x2+2ax+3a|≤2|x^{2}+2 a x+3 a| \leq 2 has exactly one solution in xx.
Plain-text mathematical notation (without MathML)
Determine all real numbers a such that the inequality |x²+2ax+3a|≤2 has exactly one solution in x.
Original LaTeX notation
Determine all real numbers $a$ such that the inequality $|x^{2}+2 a x+3 a| \leq 2$ has exactly one solution in $x$.

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Source and history

task_id
333e6b2a-a947-546d-a183-562979f097a2
task_key
test--333e6b2a-a947-546d-a183-562979f097a2
task_revision_id
1
config / split
/ test

Official source

initial import