Question

решите уравнение: x^4 - 3x^3 - x^2 + 3x=0

Answer 1

x⁴-3x³-x²+3x = 0
x³(x-3)-x(x-3) =0 
(x-3)*(x³-x) = 0
(x³-x)*(x-3) = 0
x*(x²-1)*(x-3) = 0
x*(x-1)*(x+1)*(x-3) = 0
↓       ↓       ↓        ↓
x=0 x-1=0 x+1=0 x-3=0
        x=1    x=-1    x=3