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Maybe your high school teacher didn't want to deal with the issue of what happens when (b2 - 4ac) – the expression under the square root in the quadratic formula – is negative. They might have brushed ...
Mathematicians once turned up their noses at imaginary numbers. But complex analysis actually simplifies math and physics.
However, if you are willing to believe in the existence of square roots of negative numbers, you will get solutions to a whole new set of quadratic equations. In fact, a whole amazing and useful ...