SOLUTION: Simplify the expression and write the answer in a+bi form. 5/(3-4i)

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Question 469997: Simplify the expression and write the answer in a+bi form.
5/(3-4i)
Answer by solver91311(24713) About Me  (Show Source):
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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.

4.

Combining 3 and 4, we can show that

5. Multiplication of a complex number by a real number is defined as:



Apply principles 1 and 2:



Apply principles 3, 4, and 5 and the definition of multiplication of fractions:



Simplify:



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