# Thread: ...easy complex numbers

1. ## ...easy complex numbers

Write 3 - (i^3 - i + 2)/(i^2 - i^4) in the form x + yi, where x and y are real numbers.

Please show any working out thanks!

2. Originally Posted by Joker37 Write 3 - (i^3 - i + 2)/(i^2 - i^4) in the form x + yi, where x and y are real numbers.

Please show any working out thanks!
$\displaystyle 3-\frac{i^3-i+2}{i^2-i^4}$ (Did I interpret this correctly??)

Note that $\displaystyle i^2=-1,~i^3=-i,~i^4=1$

Can you try to continue on?

3. Originally Posted by Chris L T521 $\displaystyle 3-\frac{i^3-i+2}{i^2-i^4}$ (Did I interpret this correctly??)

Note that $\displaystyle i^2=-1,~i^3=-i,~i^4=1$

Can you try to continue on?
3 - (i^3 - i + 2)/(i^2 - i^4)
3 - (-i -1 +2)/(-1 -1)
3 - (-i + 1)/-2

(3/1) - (-i + 1)/-2
(6/2) - (i + 1)/2

Is this right so far?

4. Originally Posted by Joker37 3 - (i^3 - i + 2)/(i^2 - i^4)
3 - (-i -1 +2)/(-1 -1) Mr F says: This should be 3 - (-i - i +2)/(-1 -1). You will need to fix what follows.

3 - (-i + 1)/-2

(3/1) - (-i + 1)/-2
(6/2) - (i + 1)/2

Is this right so far?
..

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