Solving Roots of Polynomial Equation of Degree 2 and 3 with Complex Coefficients
نویسندگان
چکیده
We follow the rules: a, b, c, d, a′, b′, c′, d′, x, y, x1, u, v are real numbers and s, t, h, z, z1, z2, z3, z4, s1, s2, s3, p, q are elements of C. Let a be a real number and let us consider z. Then a · z is an element of C and it can be characterized by the condition: (Def. 1) a · z = (a + 0i) · z. Then a + z is an element of C and it can be characterized by the condition: (Def. 2) a + z = z + (a + 0i). Let us consider z. Then z is an element of C and it can be characterized by the condition: (Def. 3) z = (R(z)2 −I(z)2) + (2 · (R(z) · I(z)))i. Let us consider a, b, c, z. Then Poly2(a, b, c, z) is an element of C. The following propositions are true:
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