1. The Imaginary Number System
... on to state, "Solutions for equations like these can be found, however, if we decide to invent a completely new number whose square is -1; of course, it is not a number that we have seen before. We name this number "i". The square of -i is also -1" (Engel, 1997). Mathematically, the definition of an imaginary number is a number with a negative square. Moreover, -1 has been named i and any multiple ... of -1 is called i. Circa 1545, an Italian mathematician by the name of Girolamo Cardano, solved what seemed to be an impossible cubic equation. By solving this equation ... in mathematics...
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- Grade Level: High School