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