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anonymous
 4 years ago
Simplify the following quotient of complex numbers into the form a + bi. (88i)/(1+2i) is 76i the correct answer or am I doing this wrong?
anonymous
 4 years ago
Simplify the following quotient of complex numbers into the form a + bi. (88i)/(1+2i) is 76i the correct answer or am I doing this wrong?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Multiply top and bottom by (1+2i), so (88i)(1+2i)/(1+2i)(12i). What does that get you?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So the question is this: 88i/1+2i Now, you don't want a denominator in form a+ib right? So, just multiply both numerator and denominator with 12i which is the conjugate of 1+2i. We get: \[8+16i8i+16i ^{2}\] as numerator and, \[14i ^{2}\] as denominator. We know that, \[i ^{2}=1\] So substituting the value, we get: 8+8i16 as numerator and, 1+4= 5 as denominator. Now, just put them in p/q form, you have: 8i24 as the numerator, and 5 as denominator. Take 8 common from the numerator, we are left with: 8/5*(i3) Which is the final answer.
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