What are complex numbers? What does imaginary parts of equal magnitude and opposite signs mean?
What is the quadratic formula? What is it used for? Provide a useful example.© BrainMass Inc. brainmass.com March 4, 2021, 11:45 pm ad1c9bdddf
Complex numbers are numbers that have a REAL part and an IMAGINARY part. It can be written as:
z = a + i*b
a is a real number (any ordinary number you can think of: 10, 15, -23, 3.14159, etc)
i*b is the imaginary part. b is the magnitude. i is called the imaginary number and it is defined as the square root of -1. [ i = sqrt(-1) ] Normally, we cannot take the square root of a negative number, that is why mathematicians included the imaginary number.
What does imaginary parts of equal magnitude and opposite signs mean? COMPLEX CONJUGATES
If the imaginary parts (i*b) are of equal magnitude (b) and opposite signs, it means that the instead of + we use -.
For example, let's say we have the imaginary part z = 3i, then the complex conjugate is z = ...
This solution provides an introductory explanation of complex conjugates, imaginary numbers and the quadratic formula.