anonymous
  • anonymous
simplify 13/-3+2i
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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welshfella
  • welshfella
do you know what the conjugate of the complex number in the denominator is?
anonymous
  • anonymous
No, I don't understand this... I tried to solve it but it didn't match any of the answer choices. @welshfella
welshfella
  • welshfella
the conjugate will convert the denominator to a real number its hase the same 'number' parts as the complex number but a different sign so her we would multiply the top and bottom of the fraction by the conjugate of -3 + 2i which is -3 - 2i

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welshfella
  • welshfella
can you try that
anonymous
  • anonymous
Okay let me try... @welshfella
anonymous
  • anonymous
So I got -3-2. Am I right so far? @welshfella
welshfella
  • welshfella
which part of you done - multiplying the denominator?
anonymous
  • anonymous
I did the top and bottom by -3-2i and I got -3-2. Did I do something wrong? @welshfella
welshfella
  • welshfella
yes looks like you did the bottom part is (-3 + 2i)(-3 - 2i) = -3*-3 + -3*-2i - 3*2i +2i*-2i = 9 +3*2i-3*2i -2i^2 = 9 + 4 = 13
welshfella
  • welshfella
note hot the terms in i are eliminated - thats why you multiply by the conjugate
welshfella
  • welshfella
- you distribute -3 over the second bracket then do the same with + 2i
welshfella
  • welshfella
do you follow that ok?

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