Studying Mathematics Thread

[robvalue]

I find the application of complex numbers to be fascinating.

Once you extend the real numbers to the complex number, any polynomial* with rational coefficients is guaranteed to have at least one root. (Polynomials are the sum of natural powers of a variable, with multipliers called coefficients, such as ax^3 + bx^2 + cx + d. A root is a value of x which makes the whole thing equal zero.)

*excluding those which are just a constant, i.e. no nonzero powers of x appear