SOLUTION: What is the solution to {{{(2+5i)/(5+2i)}}}?

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Question 122353: What is the solution to ?
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

What is the solution to ?



Put parentheses around numerator and
denominator:



Form the conjugate of the denominator by
changing the sign of its term with "i".
The conjugate of denominator 
is .
So we multiply by 

·



Us FOIL on top and bottom:



Combine terms:



replace  by 



Simplify:



Combine terms



Write as two fractions:



Edwin


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