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MathNet 2019-part-04 — 184 problems (EN–VI) Question 34

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 34

Determine all values of the real parameter $a$ for which the equation
$$
\left|a x^{2}-6\right|=|2 a x|+|3 a| \text{ has at least one real solution. }
$$