Destinyyyy
  • Destinyyyy
Perform the addition (-9/2 +1/2i) + (3/2 - 7/2i)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Destinyyyy
  • Destinyyyy
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
UsukiDoll
  • UsukiDoll
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
UsukiDoll
  • UsukiDoll
\[\frac{-9}{2}+\frac{3}{2}+\frac{1}{2}i-\frac{7}{2}i\]

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UsukiDoll
  • UsukiDoll
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 ?
Destinyyyy
  • Destinyyyy
-6
UsukiDoll
  • UsukiDoll
alright so now we have \[\frac{-6}{2}+\frac{-6}{2}i\] so what's -6 divided by 2
Destinyyyy
  • Destinyyyy
Im trying to follow but Id like to follow the examples with the i on the outside
UsukiDoll
  • UsukiDoll
you need to rearrange the terms a bit before you can factor the i outside.
Destinyyyy
  • Destinyyyy
I did another problem like this-- (-5+5i) + (9+8i) = (-5+5) + (9+8)i -5+9 + 5+8 4 + 13i
UsukiDoll
  • UsukiDoll
there's a problem with that
Destinyyyy
  • Destinyyyy
What would that be?? The answer is correct
UsukiDoll
  • UsukiDoll
(-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
UsukiDoll
  • UsukiDoll
either combine like terms or take the i outside -5+9+(5+8)i 4+13i
UsukiDoll
  • UsukiDoll
the same goes with this \[\frac{-9}{2}+\frac{3}{2}+\frac{1}{2}i-\frac{7}{2}i \] \[\frac{-9}{2}+\frac{3}{2}+(\frac{1}{2}-\frac{7}{2})i\]
UsukiDoll
  • UsukiDoll
O_O! What happened to my latex? -____-! OS is acting up.
Destinyyyy
  • Destinyyyy
All of my examples do it with the i on the outside so its easier for me to understand
Destinyyyy
  • Destinyyyy
latex?
UsukiDoll
  • UsukiDoll
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.
Destinyyyy
  • Destinyyyy
Okay
Destinyyyy
  • Destinyyyy
Im following you now
UsukiDoll
  • UsukiDoll
let me rewrite the top portion... it's not displaying right
Destinyyyy
  • Destinyyyy
Okay
UsukiDoll
  • UsukiDoll
\[\frac{-9}{2}+\frac{1}{2}i+\frac{3}{2}-\frac{7}{2}i\] \[\frac{-9}{2}+\frac{3}{2}+\frac{1}{2}i-\frac{7}{2}i \] [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
UsukiDoll
  • UsukiDoll
-6/2 = ?
Destinyyyy
  • Destinyyyy
-3
UsukiDoll
  • UsukiDoll
\[-3-3i \] yup and we're done :)
Destinyyyy
  • Destinyyyy
Okay thank you!

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