Solve for x in terms of a, the inequality:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\mid x^2 - 3ax + 2a^2 \mid < \mid x^2 + 3ax - a^2 \mid

[/tex]

where [itex] x \in \mathbb{R}, a \in \mathbb{R}, a \neq 0[/itex]

Squaring both sides, I get

[tex]x^4 - 6ax^3 + 13a^2 x^2 - 12a^3 x + 4a^4 < x^4 + 6ax^3 + 7a^2 x^2 - 6a^3 x + a^4[/tex]

[tex]12ax^3 - 6a^2 x^2 + 6a^3 x - 3a^4 > 0[/tex]

[tex]4 ax^3 - 2a^2 x^2 + 2a^3 x - a^4 > 0[/tex]

Stuck here. How do I proceed?

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# Homework Help: Solve for x in terms of a, the inequality

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