SOLUTION: I have a problem I'm not sure I solved right -4+1i/3i What I did was (-4+1i/3i)(i/i) = -4+1/3 = -3/3 = -1 Is this correct?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I have a problem I'm not sure I solved right -4+1i/3i What I did was (-4+1i/3i)(i/i) = -4+1/3 = -3/3 = -1 Is this correct?      Log On


   

Question 1112640: I have a problem I'm not sure I solved right
-4+1i/3i
What I did was (-4+1i/3i)(i/i) = -4+1/3 = -3/3 = -1
Is this correct?
Found 3 solutions by stanbon, josgarithmetic, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I have a problem I'm not sure I solved right
-4+1i/3i
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The conjugate of 3i is -3i
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Multiply numerator and denominator by that conjugate to get:
[-3i(-4+i)]/[-3i(3i)]
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= (3+12i)/9
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= (1+4i)/3
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Cheers,
Stan H.
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Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you really start with this, %28-4%2B1i%29%2F%283i%29, because the apparent term in your posting showing 1i%2F%283i%29 would be a poor way to show part of the original expression.


%28-4%2B1i%29%2F%283i%29

%28-4%2Bi%29%2F%283i%29

%28%28-4%2Bi%29%2F%283i%29%29%28i%2Fi%29
You know what to do from here. (Know that i%2Ai=-1.)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

I have a problem I'm not sure I solved right
-4+1i/3i
What I did was (-4+1i/3i)(i/i) = -4+1/3 = -3/3 = -1
Is this correct?
(-4 + 1i/3i)(i/i) <====== This is correct, but nothing else

The above in a more legible form: