Решите неравенство
x^4 - x^3 - 4x^2 - x + 1 gt; 0

X⁴-x³-4x²-x+1gt;0
x⁴+x³-2x³-2x²-2x²-2x+x+1gt;0
x³(x+1)-2x²(x+1)-2x(x+1)+(x+1)gt;0
(x+1)(x³-2x²-2x+1)gt;0

(x+1)(x³+1³-2x(x+1))gt;0

(x+1)²(x²-x+1-2x)gt;0
(x+1)²(x²-3x+1)gt;0
{(x+1)²gt;0;x≠-1
{x²-3x+1gt;0
D=9-4=5
x=(3±√5)/2
x€(-oo;(3-√5)/2)U((3+√5)/2;+oo);x≠-1