Hello forumers, 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 . Thank you. 3. . If and If find complex numbers z and w.
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3. z= a+ib, w=c+id (1) (2) z+w=(a+c)+i(b+d)=i so a+c=0 and b+d=1 so c=-a and d=1-b so by (1) and (2) and solving for b; b=-1 d=1-b=2 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! Thank you.
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