Question

Can anyone please help and explain? :(

Answer 1

to find the reciprocal, rewrite the equation as \[\frac{ 1 }{ 3 - 2i }\]
but we don't want i's in the denominator, so what we do is\[\left( \frac{ 1 }{ 3 - 2i } \right) \left( \frac{ 3 + 2i }{ 3 + 2i } \right)\] to eliminate the i term in the denominator (there is a term for 3 + 2i, but slipped my memory).
then simplifying,\[\frac{ 3 + 2i }{ 3^{2} - 2^{2}} = \frac{ 3 + 2i }{ 9 - 4 } = \frac{ 3 + 2i }{ 5 }\]

Answer 2

Thank you so much!!!!!!!!!!!!!!!!!!!!!!!