75.
((x+2)(x-1))(x(x-1))=24
(x²+x-2)(x²+x)=24
t=x²+x
(t-2)t=24
t²-2t-24=0
D=(-2)²-4(-24)=100=(10)²
t1=2-10\(-4)=2
x²+x=2
x²+x-2=0
x1=-2, x2=1
t2=2+10\(-4)=-3
x²+x=-3
x²+x+3=0
D=1²-4*3=-11(нет решений)
Ответ:-2,1
76. t=x-(0+4)\2=x-2
x=t+2
x-4=t-2
(t+2)⁴+(t-2)⁴=82
t⁴+8t³+24t²+32t+16+t^4-8t³+24t²-32t+16=2t⁴+48t²+32=82
2t⁴+48t²-50=0
t⁴+24t²-25=0
z²+24z-25=0
D=24²-4(-25)=676=26²
z₁=-24-26\2=-25-∅
z₂=-24+26\2=1⇒t²=1⇒t=+-1⇒x₁=1, x₂=3