Every complex number has a complex conjugate. The complex conjugate of
*a* + *bi*
is
*a* - *bi*
. For example, the conjugate of
3 + 15*i*
is
3 - 15*i*
, and
the conjugate of
5 - 6*i*
is
5 + 6*i*
.

When two complex conjugates
*a* + *bi*
and
*a* - *bi*
are added, the result is
2*a*
.
When two complex conjugates are subtracted, the result if
2*bi*
. When two
complex conjugates are multiplied, the result, as seen in
Complex Numbers, is
*a*
^{2} + *b*
^{2}
.

To find the quotient of two complex numbers, write the quotient as a fraction.
Then multiply the numerator and the denominator by the conjugate of the
denominator. Finally, simplify the expression:

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*Examples*:

(3 + 2*i*)÷(4 + 6*i*) =
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(6 + 3

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(3 -

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