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forty-two

simplify the expression 2-3i/1+5i

  • one year ago
  • one year ago

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  1. mathstudent55
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    |dw:1356499621903:dw|

    • one year ago
  2. Rosy95
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    When i punched it into a calculator, it told me it was 2+2i

    • one year ago
  3. Raja99
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    in order to simplify this type of equations rationalizing the denominator allows to get a simple equation

    • one year ago
  4. mathstudent55
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    Here you need to get rid of i from the denominator. To do that, you need to multiply the denominator by its complex conjugate. The complex conjugate of a + bi is a - bi Since you are working with a fraction, whatever you multiply the denominator by, you must multiply the numerator by the same thing.

    • one year ago
  5. mathstudent55
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    The complex conjugate of 1 + 5i is 1 - 5i (1 - 5i)/(1 - 5i) = 1 becasue when you divide a number by itself (except 0) you get 1.

    • one year ago
  6. forty-two
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    okay so 1 -8i?

    • one year ago
  7. mathstudent55
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    So by multiplying your original fraction by (1 - 5i)/(1 - 5i) you are not changing the value, only the form.

    • one year ago
  8. caesar27
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    2+2i

    • one year ago
  9. mathstudent55
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    |dw:1356499890726:dw|

    • one year ago
  10. mathstudent55
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    |dw:1356500006418:dw|

    • one year ago
  11. mathstudent55
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    |dw:1356500358308:dw|

    • one year ago
  12. forty-two
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    so the answer is -1/2 - 1/2i

    • one year ago
  13. mathstudent55
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    |dw:1356500446208:dw|

    • one year ago
  14. mathstudent55
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    Correct

    • one year ago
  15. forty-two
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    thank you

    • one year ago
  16. mathstudent55
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    wlcm

    • one year ago
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