Question 978785
x+y+z=3,
x^2+y^2+z^2=9,
xyz= -2,
x^4+x^4+z^4=c
c = 57-32 sqrt(3),   x = 1-sqrt(3),   y = 1+sqrt(3),   z = 1
c = 57+32 sqrt(3),   x = 1-sqrt(3),   y = 1+sqrt(3),   z = 1

c = 84+16 sqrt(3),   x = 1-sqrt(3),   y = 1,           z = 1+sqrt(3)
c = 84-16 sqrt(3),   x = 1-sqrt(3),   y = 1,           z = 1+sqrt(3)

c = 30-16 sqrt(3),   x = 1,           y = 1-sqrt(3),   z = 1+sqrt(3)
c = 30+16 sqrt(3),   x = 1,           y = 1-sqrt(3),   z = 1+sqrt(3)