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avatar+276 

Express 30 + 19i/4 + 9i in the form a + bi , where a and b are real numbers.

 Jan 4, 2020
 #1
avatar+276 
+8

i got 3-2i tell me if i'm wrong!.

 Jan 4, 2020
 #2
avatar+272 
+3

30+19i/4+9i in the form of a+bi

a    +    b              i

30  +   (19/4+9)   i

30+19i/4+9i=30+13.75i

 

The right answer:

  (30 + 19𝓲)/(4 + 9𝓲)

=(30 + 19𝓲)(4-9𝓲)/(4 + 9𝓲)(4-9𝓲)       mutiply (4-9i) to each side

=(291−194i)/97                                 u mutiply themsmiley

=(291/ 97)-(194/97)𝓲                         turn the equation into the form of a+bi

=3-2𝓲                                                the answer should be 3-2𝓲

 Jan 4, 2020
edited by tomsun  Jan 7, 2020
 #3
avatar+276 
+9

i actually think that im correct, because for some reason, according to the web the answer is 3-2i?!!? not to say you are wrong:(

 Jan 4, 2020
edited by whymenotsmart  Jan 4, 2020
 #4
avatar+272 
0

OH!

I see

It's (30 + 19i)/(4 + 9i) 

not 30+   19i/4  +9i

 Jan 7, 2020
edited by tomsun  Jan 7, 2020
edited by tomsun  Jan 7, 2020
 #5
avatar+272 
0

The answer is 3-2i

 Jan 7, 2020

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