Graphically, the complex numbers are typically shown as a plane, where the real part is represented horizontally and the imaginary part is represented vertically. They are in the form a + b i, where a and b are real numbers, and i can be represented as i 2 = -1 (a number such that when you square it, you get -1). Note that algebraic numbers also include some complex numbers (e.g.,, the solutions to x 2+ 1 = 0).Ĭomplex numbers are numbers composed by the addition of imaginary and real number elements. ![]() ![]() They include all integers, rational numbers, and some irrational numbers (e.g.,, which are the solutions to x 2 – 2 = 0). ![]() Algebraic numbers are all the numbers that are solutions to polynomial equations where the polynomials have rational coefficients (e.g.
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