SOLUTION: {{{(7-i)/(-1+3i)}}}

Algebra.Com
Question 151802:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!




Form the conjugate of the denominator by
1. Writing the first term.   
2. Beside the first term write the second
term with the sign before it changed. 
                             

Put parentheses around top and bottom of original:



Multiply top and bottom by the conjugate of the
denominator placed in parentheses:

  

Now use FOIL to multiply out the top and bottom:



Combine like terms:



Replace both 's by :



Simplify:



Simplify further:



Make two fractions:



Simplify:



Edwin


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