SOLUTION: i have a problem with a question x+y+z=4 X^2+y^2+z^2=14 x^3+y^3+z^3=34 x^4+y^4+z^4=...... answer it please

Question 246696: i have a problem with a question
x+y+z=4
X^2+y^2+z^2=14
x^3+y^3+z^3=34
x^4+y^4+z^4=......
answer it please
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
x+y+z=4
X^2+y^2+z^2=14
x^3+y^3+z^3=34
x^4+y^4+z^4=......
:
I came up with x = -1; y = 2; z = 3
:
Therefore
-1^4 + 2^4 + 3^4 =
+1 + 16 + 81 = 98
;
:
Check these values in the 2nd equation
-1^2 + 2^2 + 3^2 =
1 + 4 + 9 = 14
and
the 2nd equation
-1^3 + 2^3 + 3^3 =
-1 + 8 + 27 = 34

RELATED QUESTIONS
y/4+z/4=z/3+x/3=x/2+y/2... (answered by ikleyn)

Simply and express your answer with a denominator of 1 : {{{... (answered by ikleyn)

Solve {{{system(x+2*y-z = 5, 2*x-4*y+z = 0, 3*x+2*y+2*z = 3)}}} (answered by jim_thompson5910)

X Y Z is a right triangle in Y where XY = YZ = 5 cm. Find: 1. Cos (Z) 2. Tan (Z) 3.... (answered by Alex.33,Theo)

solve for x,y and z 1. x+y-2z=5 2. x+z=4 3.... (answered by Alan3354)

x+2y-z=3 2x-y+z=22 x+3y-z=4... (answered by MathLover1,greenestamps)

if z=x+iy , z* conj(z)^3+conj(z)*z^3=350, then (x,y)=..[(2,1) ,(3,4) ,(4,3)... (answered by ikleyn)

If x=6, y=4, z=3, evaluate : x^-2 y^0 /... (answered by Mathtut)

1/x + 2/y - 4/z = 1 2/x + 3/y + 8/z = 0 -1/x + 9/y + 10/z = 5 then solve x, y and... (answered by Fombitz)