Calcule 2+i\5-3i , por favor
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Bom dia Caio!
Solução!
![i^{2}=-1\\\\\
\dfrac{2+i}{5-3i}\\\\\\
\dfrac{2+i}{5-3i}\times\dfrac{5+3i}{5+3i}\\\\\\
\dfrac{10+6i+5i+3i^{2} }{25+15i-15i-9i^{2} } \\\\\\\
\dfrac{10+11i+3i^{2} }{25-9i^{2} }\\\\\\\
\dfrac{10+11i+3(-1) }{25-9(-1) }\\\\\\
\dfrac{10+11i-3 }{25+9 }\\\\\\
\dfrac{7+11i}{34}](https://tex.z-dn.net/?f=i%5E%7B2%7D%3D-1%5C%5C%5C%5C%5C+%0A%0A%0A+%5Cdfrac%7B2%2Bi%7D%7B5-3i%7D%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7B2%2Bi%7D%7B5-3i%7D%5Ctimes%5Cdfrac%7B5%2B3i%7D%7B5%2B3i%7D%5C%5C%5C%5C%5C%5C%0A+%5Cdfrac%7B10%2B6i%2B5i%2B3i%5E%7B2%7D+%7D%7B25%2B15i-15i-9i%5E%7B2%7D+%7D+%5C%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7B10%2B11i%2B3i%5E%7B2%7D+%7D%7B25-9i%5E%7B2%7D+%7D%5C%5C%5C%5C%5C%5C%5C%0A+%5Cdfrac%7B10%2B11i%2B3%28-1%29+%7D%7B25-9%28-1%29+%7D%5C%5C%5C%5C%5C%5C+%0A++%5Cdfrac%7B10%2B11i-3+%7D%7B25%2B9+%7D%5C%5C%5C%5C%5C%5C%0A+%5Cdfrac%7B7%2B11i%7D%7B34%7D++%0A+ "i^{2}=-1\\\\\
\dfrac{2+i}{5-3i}\\\\\\
\dfrac{2+i}{5-3i}\times\dfrac{5+3i}{5+3i}\\\\\\
\dfrac{10+6i+5i+3i^{2} }{25+15i-15i-9i^{2} } \\\\\\\
\dfrac{10+11i+3i^{2} }{25-9i^{2} }\\\\\\\
\dfrac{10+11i+3(-1) }{25-9(-1) }\\\\\\
\dfrac{10+11i-3 }{25+9 }\\\\\\
\dfrac{7+11i}{34}")
Bom dia!
Bons estudos!
Solução!
Bom dia!
Bons estudos!
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