Hi,

Q) Separate into real and imaginary parts (write as a simple complex number):

- (-2 + 3i)²/(1 + i)

Please help me solving it ! (Crying) I know the method is by multiplying it with conjugate but can't get a proper answer.

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- May 22nd 2011, 02:32 AMasmalik12Solving complex number with divison
Hi,

Q) Separate into real and imaginary parts (write as a simple complex number):

- (-2 + 3i)²/(1 + i)

Please help me solving it ! (Crying) I know the method is by multiplying it with conjugate but can't get a proper answer. - May 22nd 2011, 02:36 AMjgv115
First expand the numerator $\displaystyle (-2+3i)^2 $

$\displaystyle 4+(2)(-2)(3i) + 9i^2 $

$\displaystyle 4-12i+9i^2 $

Since $\displaystyle i^2 = -1 $ then $\displaystyle -5-12i $

Now multiply your new fraction by the conjugate of $\displaystyle (1+i) $ which is $\displaystyle 1-i$ - May 22nd 2011, 02:53 AMasmalik12
Thanx for the help ! (Clapping)