SOLUTION: Simplify the expression and write the answer in a+bi form.
5/(3-4i)
Algebra.Com
Question 469997: Simplify the expression and write the answer in a+bi form.
5/(3-4i)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Five principles required.
1. Anything divided by itself is 1, i.e. 
2. 1 is the multiplicative identity, i.e. 
3. The product of a pair of conjugate binomials is the difference of 2 squares, i.e. (a\ -\ b)\ =\ a^2\ -\ b^2)
4. 
Combining 3 and 4, we can show that (a\ -\ bi)\ =\ a^2\ +\ b^2)
5. Multiplication of a complex number by a real number is defined as: \ =\ ac\ +\ bci)
Apply principles 1 and 2:
\left(\frac{3\ +\ 4i}{3\ +\ 4i}\right))
Apply principles 3, 4, and 5 and the definition of multiplication of fractions:
Simplify:
John
My calculator said it, I believe it, that settles it
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