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anonymous
 4 years ago
5i/(2+3i)^2
Write the quotient in standard form
anonymous
 4 years ago
5i/(2+3i)^2 Write the quotient in standard form

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you will need so square the denomniator first and see what you get

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you should get \[(2+3i)^2=5+12i\] so your next step is to divide \[\frac{5i}{5+12i}\]and you do this by multiplying numerator and denominator by the conjugate of the denominator, in other words multiply by \[\frac{512i}{512I}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the denominator will be \[5^2+12^2=169\] and the numerator will be \[5i(512i)\] or \[25i+60\] giving your final answer as \[\frac{60}{169}\frac{25}{19}i\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0typo on last line \[\frac{60}{169}\frac{25}{169}i\]
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