SOLUTION: write in a+bi form 1). {{{(4+5i)/(6+i)}}} 2). {{{14/i}}}

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Question 315734: write in a+bi form
1).
2).

Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
Write the following expressions as a complex number in standard form.
1).

Form the conjugate of  by changing the sign of the term
containing  and leaving the sign of the first term.

Thus the conjugate of  is .

Place that conjugate over itself, like this ,
which just equals 1, and so we can now multiply the original
expression by that without changing its value:





Using FOIL on top and bottom:



Combining like terms (the middle terms cancel in the bottom)



Replace  by 



Simplify:





Make two fractions, and write the  as multiplied on the right of
the second fraction, so it will be in the standard form :



---------------

2). 

You only need to multiply that by 





Replace the  by 





Edwin


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