Write3+4 i÷5-12iin thex +iy form , hencefind itsrealand imaginary par

1.	Write3+4 i÷5-12iin thex +iy form , hencefind itsrealand imaginary parts.
Answer» $\frac{3 + 4i}{5 - 12i} \times \frac{5 + 12i}{5 + 12i} = \\ \frac{(3 + 4i)(5 + 12i)}{(5 -12i)(5 +12i)} \\ = \frac{15 + 36i + 20i + 48 {i}^{2} }{ {5}^{2} - {12i}^{2}}$ $\frac{15 + 56i - 48}{25 + 144} = \frac{56i - 33}{169} \\ = \frac{56}{169}i - \frac{33}{169} \\imaginary \:part = \frac{56}{169}i \\ real \: part \: = - \frac{33}{169}$

Write3+4 i÷5-12iin thex +iy form , hencefind itsrealand imaginary parts.

Answer»

$\frac{3 + 4i}{5 - 12i} \times \frac{5 + 12i}{5 + 12i} = \\ \frac{(3 + 4i)(5 + 12i)}{(5 -12i)(5 +12i)} \\ = \frac{15 + 36i + 20i + 48 {i}^{2} }{ {5}^{2} - {12i}^{2}}$

$\frac{15 + 56i - 48}{25 + 144} = \frac{56i - 33}{169} \\ = \frac{56}{169}i - \frac{33}{169} \\imaginary \:part = \frac{56}{169}i \\ real \: part \: = - \frac{33}{169}$

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Write3+4 i÷5-12iin thex +iy form , hencefind itsrealand imaginary parts.​

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Write3+4 i÷5-12iin thex +iy form , hencefind itsrealand imaginary parts.