i have an explanation for complex numbers. for this to understand, you need to know that complex numbers are of the form a+ib. so they are real part “a” and imaginary part “b”. so it kind of two dimensional where each dimension is like real numbers. so real numbers are like bridge compared complex numbers which are full land surface. while travelling in bridge of it breaks in the middle then there is no way to cross it but if are travelling in a land road and it breaks in the middle, you can still go to other side by going outside the road. hope this makes some sense to the question why complex numbers are useful
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