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Destinyyyy

  • one year ago

Perform the addition (-9/2 +1/2i) + (3/2 - 7/2i)

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  1. Destinyyyy
    • one year ago
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    My example shows to put the i on the outside of the equation like this- (-9/2 +1/2) + (3/2 - 7/2)i Im not sure what to do next

  2. UsukiDoll
    • one year ago
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    I wouldn't do it like that. Our answer has to be in the form of ai+b or a+bi... the same rule applies for subtraction ai-b or a-bi so what I would've done is to combine the like terms as in put all the terms without the i's to the left and all terms with the i's to the right

  3. UsukiDoll
    • one year ago
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    \[\frac{-9}{2}+\frac{3}{2}+\frac{1}{2}i-\frac{7}{2}i\]

  4. UsukiDoll
    • one year ago
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    now the denominators are the same which is good because we don't have to use GCF or LCD ... so can you tell me what -9+3 is? and 1-7 ?

  5. Destinyyyy
    • one year ago
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    -6

  6. UsukiDoll
    • one year ago
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    alright so now we have \[\frac{-6}{2}+\frac{-6}{2}i\] so what's -6 divided by 2

  7. Destinyyyy
    • one year ago
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    Im trying to follow but Id like to follow the examples with the i on the outside

  8. UsukiDoll
    • one year ago
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    you need to rearrange the terms a bit before you can factor the i outside.

  9. Destinyyyy
    • one year ago
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    I did another problem like this-- (-5+5i) + (9+8i) = (-5+5) + (9+8)i -5+9 + 5+8 4 + 13i

  10. UsukiDoll
    • one year ago
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    there's a problem with that

  11. Destinyyyy
    • one year ago
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    What would that be?? The answer is correct

  12. UsukiDoll
    • one year ago
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    (-5+5i)+(9+8i) you have to rearrange the terms first it should look something like this -5+9+5i+8i and then it would be 4+13i which is right, but you need to do some rearranging first

  13. UsukiDoll
    • one year ago
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    either combine like terms or take the i outside -5+9+(5+8)i 4+13i

  14. UsukiDoll
    • one year ago
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    the same goes with this \[\frac{-9}{2}+\frac{3}{2}+\frac{1}{2}i-\frac{7}{2}i \] \[\frac{-9}{2}+\frac{3}{2}+(\frac{1}{2}-\frac{7}{2})i\]

  15. UsukiDoll
    • one year ago
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    O_O! What happened to my latex? -____-! OS is acting up.

  16. Destinyyyy
    • one year ago
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    All of my examples do it with the i on the outside so its easier for me to understand

  17. Destinyyyy
    • one year ago
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    latex?

  18. UsukiDoll
    • one year ago
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    there's more than one method to doing this problem and it all gives the same result as long as you do the correct arithmetic.

  19. Destinyyyy
    • one year ago
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    Okay

  20. Destinyyyy
    • one year ago
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    Im following you now

  21. UsukiDoll
    • one year ago
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    let me rewrite the top portion... it's not displaying right

  22. Destinyyyy
    • one year ago
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    Okay

  23. UsukiDoll
    • one year ago
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    \[\frac{-9}{2}+\frac{1}{2}i+\frac{3}{2}-\frac{7}{2}i\] \[\frac{-9}{2}+\frac{3}{2}+\frac{1}{2}i-\frac{7}{2}i \] [rearrange the terms] \[\frac{-9}{2}+\frac{3}{2}+(\frac{1}{2}-\frac{7}{2})i \] [factor the i so it appears on the outside] \[\frac{-6}{2}+(\frac{-6}{2})i \] [solve for the numerators] last step is division

  24. UsukiDoll
    • one year ago
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    -6/2 = ?

  25. Destinyyyy
    • one year ago
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    -3

  26. UsukiDoll
    • one year ago
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    \[-3-3i \] yup and we're done :)

  27. Destinyyyy
    • one year ago
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    Okay thank you!

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