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Salut, am nevoie de ajutor la ex. 1.350C( explicatii pas cu pas , va rog)

Salut Am Nevoie De Ajutor La Ex 1350C Explicatii Pas Cu Pas Va Rog class=

Răspuns :

[tex]|z| = |z'| = 1 \\ \\ z\cdot \overline{z} = 1\\ z'\cdot \overline{z'} = 1\\ \\ w = \dfrac{z+z'}{1+zz'} \\\\w = \dfrac{\overline{z'}\overline{z}(z+z')}{\overline{z'}\overline{z}(1+zz')} = \dfrac{\overline{z'}+\overline{z}}{\overline{z'}\overline{z}+1}=\dfrac{\overline{z}+\overline{z'}}{1+\overline{z}\overline{z'}}=\overline{w}\\ \\ \\\Rightarrow w = \overline{w} \Rightarrow w\in \mathbb{R}[/tex]

=> a) corect