SOLUTION: If a+b=2, then 2-a=b & 2-b=a And (1-i)a+(1+i)b=0, define a&b My attempt: (1-i)a+(1+i)b=0 (a-ai)+(b+bi)=0 (a+b)+(-ai+bi)=o (2)+(-(2-b)i+bi)=0 2+(-2i+bi+bi)=0 2+(-2i+bi^2)=

Question 887639: If a+b=2, then 2-a=b & 2-b=a
And (1-i)a+(1+i)b=0, define a&b
My attempt:
(1-i)a+(1+i)b=0
(a-ai)+(b+bi)=0
(a+b)+(-ai+bi)=o
(2)+(-(2-b)i+bi)=0
2+(-2i+bi+bi)=0
2+(-2i+bi^2)=0
2+(-2i-b)=o
2-b+(-2i)=o
2-2i=b,?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

.
.
.
From eq. 2,

3.
Adding together eqs.1 and 3,

Then using eq. 1,

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