Question 34
Determine all values of the real parameter $a$ for which the equation
$$
\left|a x^{2}-6\right|=|2 a x|+|3 a| \text{ has at least one real solution. }
$$
$$
\left|a x^{2}-6\right|=|2 a x|+|3 a| \text{ has at least one real solution. }
$$
Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)