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  • 14-08-2018
  • Mathematics
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How to simply 5/3+i

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Аноним Аноним
  • 14-08-2018

I am assuming you mean 5 / (3 + i)

Multiply top and bottom of the fraction by the complement of 3+i ( which is 3-i)

= 5(3 - i) / (3 + i)(3 - i)

= 15 - 5i / (9 - 3i + 3i - i^2) [Note - i^2 = + 1)

= (15 - 5i) / ( 9 + 1)

= ( 15 - 5i ) 10

= 1.5 - 0.5i answer

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