Question

пж уравнение
x^3-x=0
x^4-x^3=0
x^4=1

Answer 1

x^3-x=0
x(x^2-1)=0
x=0
x^2=1
x=+-1
x^4-x^3=0
x^3(x-1)=0
x=0
x=1
x^4=1
x=+-1

Answer 2

$1) {x}^{3} - x = 0 \\ \: x( {x}^{2} - 1) = 0 \\ x1 = 0 \\ {x}^{2} - 1 = 0 \\ (x - 1)(x + 1) = 0 \\ x2 = 1 \\ x3 = - 1 \\ \\ 2) {x}^{4} - {x}^{3} = 0 \\ {x}^{3} (x - 1) = 0 \\ {x}^{3} = 0 \\ x1 = 0 \\ (x - 1) = 0 \\ x2 = 1 \\ \\ 3) {x}^{4} = 1 \\ x1= 1 \\ x2 = - 1$