Wednesday, October 13, 2010

Section 2.4 Complex Numbers




A complex number is the combination of a real number
and an imaginary number.

Adding Complex Numbers



Subtracting Complex Numbers




Multiplying Complex Numbers



Dividing Complex Numbers

eq=\frac{2+3i}{4-2i}= \frac{2+3i}{4-2i}(\frac{4+2i}{4+2i}
=\frac{8+4i+12i+6i^2 }{16-4i^2 }=
\frac{8+16i+(6)(-1)}{16-4(-1)}=
\frac{2+16i}{20}=\frac{1}{10}+\frac{4i}{5
}

Conjugate
use when there is an imaginary number in the denominator.
2+3i    the conjugate is 2-3i




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