University:
College
Course:
College Mathematics
Academic year:

2023
Views:

92

Pages:

1
Author:

Sergio P.

Complex Numbers Complex numbers are numbers which consist of a real part and higher an imaginary part. The solution of some quadratic and highor degree equations results in compky number. For example, the 2 roots of the quadratic equation. x - 4x +13= 0, are complex numbers. Using the quadratic formula yields tus complex numbers as roots. x = - b + √b²-4 ac 2 29 X=4±16-52 2 X = 4√-36 2 x = 4 ± 61 2 X = 2 + 31 The two roots are 2 + 31 and 2-31, they are both complex numbers. 2 is the real part 131 ard-31 are the Imaginary ports. The general form of a complex number is a + bi, in which "a" represents the real part and "bi" represent Complex numbers are the Imaginary part. added, subtracted, multiplied, and divided like algebraic binomials. Thus the sum of the two complex numbers. 7+5i and 2 + 3i is 9+ di and 7tsi minus 2 + 3i, is 5+ 21. Similary, the product of 7+si and 2 4 31 is 14 + 3ii + 15ie. But 12 cquals 1. Thus the product is 19 +131 + 15 (-1) which equals -1 +31 i.