SOLUTION: True or False.... 1 + 3/(2 − i) = 5 - i Can you provide a detailed explanation of how you found the solution?

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Question 188637: True or False....
1 + 3/(2 − i) = 5 - i

Can you provide a detailed explanation of how you found the solution?

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the left side of the given equation.


Multiply the fraction by (this is to make the denominator a real number)


FOIL


Plug in


Rewrite the denominator


Add



Distribute


Multiply the first term 1 by


Combine the fractions


Combine like terms.


Break up the fraction


Since and , this means that


So consequently

So the statement is false.

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