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MathNet 2009-part-02 — 175 problems (EN–VI) Question 78

Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)

Question 78

Find all values of the real parameter $a$, for which the system
$$
\left\{\begin{array}{c}
(|x|+|y|-2)^{2}=1 \\
y=a x+5
\end{array}\right.
$$
has exactly three solutions.