Question

(x-1)(x-3)=(x-2)(x-3)

Answer 1

Ответ:

Как-то так................................

Answer 2

To solve the equation (x-1)(x-3) = (x-2)(x-3), you can start by simplifying both sides of the equation:

(x-1)(x-3) = (x-2)(x-3)

Now, expand both sides:

x^2 - 3x - x + 3 = x^2 - 2x - 3x + 6

Now, combine like terms on both sides:

x^2 - 4x + 3 = x^2 - 5x + 6

At this point, notice that the x^2 terms on both sides of the equation are the same, so you can subtract x^2 from both sides to simplify further:

-4x + 3 = -5x + 6

Next, you can move the terms involving x to one side of the equation and the constants to the other side. To do this, add 5x to both sides and subtract 3 from both sides:

-4x + 5x = 6 - 3

x = 3

So, the solution to the equation (x-1)(x-3) = (x-2)(x-3) is x = 3.