gersonhuaytallp73fqo gersonhuaytallp73fqo
  • 13-04-2018
  • Mathematics
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Simplify the given expression below: 2 divided by the quantity of 2 plus 5i

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Goalinetsky
Goalinetsky Goalinetsky
  • 13-04-2018
Remove the imaginary from the denominator.
[tex]\frac{2}{2 + 5i} [/tex]
[tex]( \frac{2}{2 + 5i} )( \frac{2 - 5i}{2 - 5i} )[/tex]
[tex] \frac{2(2 - 5i)}{(2 + 5i)(2 - 5i)} [/tex]
[tex] \frac{4 - 10i}{4 - 10i + 10i - 25 i^{2} } [/tex]  [tex] i^{2} = -1[/tex]
[tex] \frac{4 - 10i}{4 + 25} [/tex]
[tex] \frac{4 - 10i}{29} [/tex]

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