efetue a divisão dos numeros complexos 1/3+2i?
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Bom dia!
Solução!
![\dfrac{1}{3+2i}\\\\\\
\dfrac{1}{3+2i} \times\dfrac{3-2i}{3-2i}\\\\\\\\
\dfrac{3-2i}{9-6i+6i-4i^{2} }\\\\\\\
\dfrac{3-2i}{9-4i^{2} }\\\\\\\
lembrando:i ^{2} =-1\\\\\\\\
\dfrac{3-2i}{9-4(-1) }\\\\\\\
\dfrac{3-2i}{9+4}\\\\\\\
\boxed{\dfrac{3-2i}{13}}\\\\\\\](https://tex.z-dn.net/?f=+%5Cdfrac%7B1%7D%7B3%2B2i%7D%5C%5C%5C%5C%5C%5C%0A+%5Cdfrac%7B1%7D%7B3%2B2i%7D+%5Ctimes%5Cdfrac%7B3-2i%7D%7B3-2i%7D%5C%5C%5C%5C%5C%5C%5C%5C%0A+%5Cdfrac%7B3-2i%7D%7B9-6i%2B6i-4i%5E%7B2%7D+%7D%5C%5C%5C%5C%5C%5C%5C%0A++%5Cdfrac%7B3-2i%7D%7B9-4i%5E%7B2%7D+%7D%5C%5C%5C%5C%5C%5C%5C%0Alembrando%3Ai+%5E%7B2%7D+%3D-1%5C%5C%5C%5C%5C%5C%5C%5C%0A+%5Cdfrac%7B3-2i%7D%7B9-4%28-1%29+%7D%5C%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7B3-2i%7D%7B9%2B4%7D%5C%5C%5C%5C%5C%5C%5C%0A%0A%5Cboxed%7B%5Cdfrac%7B3-2i%7D%7B13%7D%7D%5C%5C%5C%5C%5C%5C%5C%0A%0A "\dfrac{1}{3+2i}\\\\\\
\dfrac{1}{3+2i} \times\dfrac{3-2i}{3-2i}\\\\\\\\
\dfrac{3-2i}{9-6i+6i-4i^{2} }\\\\\\\
\dfrac{3-2i}{9-4i^{2} }\\\\\\\
lembrando:i ^{2} =-1\\\\\\\\
\dfrac{3-2i}{9-4(-1) }\\\\\\\
\dfrac{3-2i}{9+4}\\\\\\\
\boxed{\dfrac{3-2i}{13}}\\\\\\\")
Bom dia!
Bons estudos!
Solução!
Bom dia!
Bons estudos!
xandynho18:
muito obrigado isso mi ajudou muito.
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