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Zero Sum Cubic Puzzle (Posted on 2024-06-26)

Determine all values of a such that x³+|x²+ax|=0 has three distinct real solutions.

No Solution Yet Submitted by Danish Ahmed Khan

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A simplification

| Comment 1 of 3

x = 0 is a solution for all a, so this problem is equivalent to asking for all values of a such that x2+|x+a|=0 has two distinct non-zero real solutions.

Posted by Steve Herman on 2024-06-26 14:16:38

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