Решите неравенство

x^4 - x^3 - 4x^2 - x + 1 > 0

X⁴-x³-4x²-x+1>0

x⁴+x³-2x³-2x²-2x²-2x+x+1>0

x³ (x+1) - 2x² (x+1) - 2x (x+1) + (x+1) >0

(x+1) (x³-2x²-2x+1) >0

(x+1) (x³+1³-2x (x+1)) >0

(x+1) ² (x²-x+1-2x) >0

(x+1) ² (x²-3x+1) >0

{ (x+1) ²>0; x≠-1

{x²-3x+1>0

D=9-4=5

x = (3±√5) / 2

x€ (-oo; (3-√5) / 2) U ((3+√5) / 2; +oo) ; x≠-1