SOLUTION: express each complex number in the form a+bi 2) 1 divided by 2+3i please help me understand this problem.

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Question 164226: express each complex number in the form a+bi
2) 1 divided by 2+3i
please help me understand this problem.
Found 2 solutions by padmameesala, SAT Math Tutor:
Answer by padmameesala(42) (Show Source):
You can put this solution on YOUR website!
2+3i is a divisor and 1 is a dividend
and 1 is written as 1+0i

2+3i) 1+ 0i (1/2
1+(3/2)i 1/2(2+3i)
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-(3/2)i
so when 1 is divided by 2+3i the quotient is 1/2 and the remainder is -(3/2)i

Answer by SAT Math Tutor(36) (Show Source):
You can put this solution on YOUR website!
What you need to do is multiply by its conjugate pair to rationalize it:

See that we are just multiplying by 1 in a special way.