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forty-two

  • 3 years ago

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

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  1. mathstudent55
    • 3 years ago
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    |dw:1356499621903:dw|

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

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

  4. mathstudent55
    • 3 years ago
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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.

  5. mathstudent55
    • 3 years ago
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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.

  6. forty-two
    • 3 years ago
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    okay so 1 -8i?

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

  8. caesar27
    • 3 years ago
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    2+2i

  9. mathstudent55
    • 3 years ago
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    |dw:1356499890726:dw|

  10. mathstudent55
    • 3 years ago
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    |dw:1356500006418:dw|

  11. mathstudent55
    • 3 years ago
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    |dw:1356500358308:dw|

  12. forty-two
    • 3 years ago
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    so the answer is -1/2 - 1/2i

  13. mathstudent55
    • 3 years ago
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    |dw:1356500446208:dw|

  14. mathstudent55
    • 3 years ago
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    Correct

  15. forty-two
    • 3 years ago
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    thank you

  16. mathstudent55
    • 3 years ago
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    wlcm

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