Question

Решите уравнение: (x^2-x)*(x-2)=0

Answer 1

X*(x-1)*(x-2)=0
х=0 или х-1=0 или х-2=0; x=2
х=1

Answer 2

To solve the equation (x^2 - x) * (x - 2) = 0, we need to find the values of x that make the left-hand side equal to zero. In other words, we need to find the values of x that satisfy the equation.

To do this, we set each factor in the equation equal to zero and solve for x:

1. (x^2 - x) = 0

x(x - 1) = 0

Now, we have two possibilities:

a) x = 0 b) x - 1 = 0 x = 1

2. (x - 2) = 0

x = 2

So, the solutions to the equation are x = 0, x = 1, and x = 2. These values of x make the left-hand side of the equation equal to zero.