Question

find the conjugate of 12+5i/4+3i​

Answer 1

Step-by-step explanation:

To find the complex conjugate of -4 - 3i we change the sign of the imaginary part. Thus the complex conjugate of -4 - 3i is -4+3i.

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Answer 2

Answer:

$conjugate \: \implies \: \frac{63}{25} + \frac{16}{25} i$

Step-by-step explanation:

$Step \: 1:\:We \: should \: simplify \frac{12 + 5i}{4 + 3i} by \: multiplying \: \: (4 + 3i) \: on \: both \: numerator \: and \: denominator.\\\\Step\:2:\:We\:should\:find\:the\:conjugate\:of \:the\: obtained \: complex \: number.$

$\frac{12 + 5i}{4 + 3i} = \frac{(12 + 5i)(4 - 3i)}{(4 + 3i)(4 - 3i)} \\\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= \frac{48 - 36i + 20i + 15}{16 + 9} \\ \\ = \frac{63 - 16i}{25} \\ \\ = \frac{63}{25} - \frac{16}{25} i \\ \\ conjugate \: \implies \: \frac{63}{25} + \frac{16}{25} i$