Question: read about solving cubic equation https://en.wikipedia.org/wiki/Cubic_equation A triplet of positive integers (a, b, c) is called a Cardano triplet if it satisfies the condition: 3

read about solving cubic equation https://en.wikipedia.org/wiki/Cubic_equation A triplet of positive integers (a, b, c) is called a Cardano triplet if it satisfies the condition: 3 q a + b c + 3 q a b c = 1 For example, (a=2, b=1, c=5) is a Cardano Triplet. How many such triplets are there with a + b + c 1, 500

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