Find all solutions of z^2+bar z^2=0 How do I solve this equation? Also plotting all these solutions on the graph needed. z^2+bar z^2=0 I have got something like (x+iy)^2=sqrt −(x−iy)^2 x+iy=y+ix

klasyvea

klasyvea

Answered question

2022-11-05

Find all solutions of z 2 + z ¯ 2 = 0
How do I solve this equation? Also plotting all these solutions on the graph needed.
z 2 + z ¯ 2 = 0
I have got something like
( x + i y ) 2 = ( x i y ) 2
x + i y = y + i x

Answer & Explanation

Leo Robinson

Leo Robinson

Beginner2022-11-06Added 14 answers

Considering that z ¯ 2 = z 2 ¯ , then 0 = z 2 + z 2 ¯ = 2 R e ( z 2 ) R e ( z 2 ) = 0 | R e ( z ) | = | I m ( z ) | .
Frankie Burnett

Frankie Burnett

Beginner2022-11-07Added 2 answers

z C
z 2 + z ¯ 2 = 0 ( z + z ¯ ) 2 = 2 z z ¯ ( 2 R e ( z ) ) 2 = 2 | z | 2 2 R e ( z ) 2 = R e ( z ) 2 + I m ( z ) 2 R e ( z ) 2 = I m ( z ) 2

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