Question

Write the quotient in the form a+bi
1+3i over 5+3i

Answer 1

\[\frac{1+3i}{5+3i}=\frac{1+3i}{5+3i}\times \frac{5-3i}{5-3i}\]

Answer 2

denomimator is
\[25+9=33\]

Answer 3

numerator is
\[5+9+(-3+15)i=14+12i\]

Answer 4

giving an answer of
\[\frac{14+12i}{33}=\frac{14}{33}+\frac{12}{33}i\] in standard form

Answer 5

a little short on the denominator.

Answer 6

oops!

Answer 7

\[25+9=...\]

Answer 8

addition never my strong suit !

Answer 9

Hi satellite73

Answer 10

hi radar! thanks for catching my mistake! i guess answer is actually
\[\frac{14}{34}+\frac{12}{34}i=\frac{7}{17}+\frac{6}{17}i\] unless i made another mistake