SOLUTION: HI! May I get some help with this expression?
Evaluate the expression and write the result in the form a + bi.
(6 + 5i)^-1
Algebra.Com
Question 120434: HI! May I get some help with this expression?
Evaluate the expression and write the result in the form a + bi.
(6 + 5i)^-1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression
Rewrite the expression as . Remember,
\left(\frac{6-5i}{6-5i}\right))
Multiply the fraction by 
Foil and Multiply
Break up the fraction. So it is now in form where and
So ^{-1})
simplifies to
In other words, ^{-1}=\frac{6}{61}-\frac{5}{61}i)
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