Benchmark AI / Public workspace
OlympiadBench / 2330 / Determine all triples (x,y,z) of real numbers that satisfy the following…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
answer type
Tuple
is multiple answer
true
language
English
question
Determine all triples of real numbers that satisfy the following system of equations:
$$
\begin{aligned}
(x-1)(y-2) & =0 \\
(x-3)(z+2) & =0 \\
x+y z & =9
\end{aligned}
$$Plain-text mathematical notation (without MathML)
Determine all triples (x,y,z) of real numbers that satisfy the following system of equations:
$$
\begin{aligned}
(x-1)(y-2) & =0 \\
(x-3)(z+2) & =0 \\
x+y z & =9
\end{aligned}
$$Original LaTeX notation
Determine all triples $(x, y, z)$ of real numbers that satisfy the following system of equations:
$$
\begin{aligned}
(x-1)(y-2) & =0 \\
(x-3)(z+2) & =0 \\
x+y z & =9
\end{aligned}
$$question type
Open-ended
subject
Math
Discussion
No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.
Artifacts
Code, notes and reproducible work shared by participants. Files are served from a separate origin.
No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.
Source and history
initial import