X1^4 + X2^4=...?? Dari persamaan kuadrat 3X^2+X+2=0

jawab

3x^2 + x + 2 =0
a= 3
b = 1
c = 2

x1 + x2 = -b/a = - 1/3
x1. x2 = c/a = 2/3

(x1⁴ + x2⁴) = [(x1+x2)^2 - 2(x1x2)]^2 - 2 (x1 x2)^2
= [(-1/3)^2 - 2(2/3)]^2 - 2 (2/3)^2
= [ (1/9 - 4/3)^2 ]  - 2(4/9)
=  (-11/9) - 8 /9
= -19/9