While learning complex numbers, i got stuck in this two problems:
1. and , find if:
a) is imaginary number
b) is real number 2. Find if: and .
3. . If and If find complex numbers z and w.
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z= a+ib, w=c+id (1) (2)
so a+c=0 and b+d=1
so c=-a and d=1-b
so by (1) and (2)
solving for b;
so a=1 or -1
c=-a=-1 or 1
so z=1-i, w=-1+2i or z=-1-i, w=1+2i
Thank you Krahl. I solved 2 remaining problems.
First problem solution is: and just for a).
Second problem solutions is:
If you have any questions about solution, feel free to ask!
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