Wednesday, December 31, 2014

z= ((3+4i)(12-5i))/(2+i) a. |z| ? b. Re (z) and Im (z)?

Expanding the numerator

z=+%28%283%2B4i%29%2812-5i%29%29%2F%282%2Bi%29=%2836-15i%2B48i-20i%5E2%29%2F%282%2Bi%29+

z=%2856%2B33i%29%2F%282%2Bi%29=%28%2856%2B33i%29%282-i%29%29%2F%282%5E2%2B1%5E2%29

z=%28112-56i%2B66i-33i%5E2%29%2F5=%28145%2B10i%29%2F5

z=29%2B2i 



abs%28z%29=sqrt%2829%5E2%2B2%5E2%29=13sqrt%285%29     Re%28z%29=29   Im%28z%29=2
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