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The reason for asking such question tagged in physics is that i read from some resources that complex number were came into perception while trying to provide solution for cubic equation like x

^{3}= px + q. While i have no issue in terms of accepting an idea of a thing like a + ib , which is called complex number, i do not understand how these complex numbers are related with physical events. Since, complex numbers are related with cubic equation by origin and each equation is supposed to represent some physical phenomena, i thought it is worth searching for such equation which has complex solution to understand this mysterious number.