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The complex numbers w
and z satisfy the relation w= (z + i)/ (iz + 2)

Given that z = 1 + i, find w. giving your answer in the form x + iy, where x and y are real.​

Respuesta :

konrad509

[tex]w=\dfrac{1+i+i}{i(1+i)+2}\\\\w=\dfrac{1+2i}{i-1+2}\\\\w=\dfrac{1+2i}{1+i}\\\\w=\dfrac{(1+2i)(1-i)}{1+1}\\\\w=\dfrac{1-i+2i+2}{2}\\\\w=\dfrac{3+i}{2}\\\\w=\dfrac{3}{2}+\dfrac{1}{2}i[/tex]

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