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Assuming that the following complex numbers satisfy the following equations:

x+y+z=5

x^3+y^3+z^3=-19

x^5+y^5+z^5=-235


Calculate x^7+y^7+z^7.
 

Joon

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So you solving for x, y, and z. Too lazy.
 

ChocolateVanilla

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The French Prime Minister does not agree with your actions, Sarkozy.
 

ShiroShonen

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Is that Part of your Calculus homework? :|
 

SayWhat21

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why would i want to do math in narutobase hmm
 

Edenia

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Assuming that the following complex numbers satisfy the following equations:

x+y+z=5

x^3+y^3+z^3=-19


x^5+y^5+z^5=-235


Calculate x^7+y^7+z^7.


Math is not my area so I'm quite ignorant in that but isn't that Fermat's theorem ?
 

Uzumaki Naruta

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Assuming that the following complex numbers satisfy the following equations:

x+y+z=5

x^3+y^3+z^3=-19

x^5+y^5+z^5=-235


Calculate x^7+y^7+z^7.

Quick thought:

Write the complex numbers in the z = r (Cos a + i sin b) form and then use DiMovre method. Break the 3 times angle into something useful and then solve it.


Would do it myself but I´m sleepy. If anything I´ll solve it tomorrow.

Night.
 
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