The equation x^3+x^2+2=0 has roots alpha, beta and gama. evaluate alpha^4 + beta^4 + gama^4

Answered Same DayDec 21, 2021

Answer To: The equation x^3+x^2+2=0 has roots alpha, beta and gama. evaluate alpha^4 + beta^4 + gama^4

Robert answered on Dec 21 2021

124 Votes

We are given the cubic equation 3 2 2 0,x x   with roots , , and .   We wish to compute
4 4 4.   
We have
3 2
3 2
3 2
2 0;
2 0;
2 0.
 
 
 
  
  
  
It is also clear that
1;
0;
2.
  
  

   
  
 
Thus we have

  ...

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The equation x^3+x^2+2=0 has roots alpha, beta and gama. evaluate alpha^4 + beta^4 + gama^4

Answer To: The equation x^3+x^2+2=0 has roots alpha, beta and gama. evaluate alpha^4 + beta^4 + gama^4

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