Let $a, b, c$ be complex numbers, with $a$ real, such that \[a+b+c=ab+bc+ca=abc=3.\]Find $a$.
Question:
Let $a, b, c$ be complex numbers, with $a$ real, such that \[a+b+c=ab+bc+ca=abc=3.\]Find $a$.
Answer:
Let's think step by step.

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1 + \sqrt[3]{2}
Let $a, b, c$ be complex numbers, with $a$ real, such that \[a+b+c=ab+bc+ca=abc=3.\]Find $a$.
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