SOLUTION: Solve for x and y, 3x + iy = (1 + i)(x^2 + y^2). Ans: x = 3/10 and y = 9/10

Question 1113675: Solve for x and y, 3x + iy = (1 + i)(x^2 + y^2). Ans: x = 3/10 and y = 9/10
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

Let for now:

Using Re{LHS} = Re{RHS}, Im{LHS}=Im{RHS} :

3x = k  �>  x = k/3  (1)
y = k                (2)

But so, using (1) and (2):

k=0 and/or k=9/10
k=0 is a trivial solution (x=y=k=0)
k=9/10 �> ,
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