Question

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

Answer 1

( х - 1 ) ( х - 2 ) = ( 3х + 1 ) ( х - 2 )
х² - 2х - х + 2 = 3х² - 6х + х - 2
х² - 2х - х + 2 - 3х² + 6х - х + 2 = 0
-2х² + 2х + 4 = 0 | ÷ (-2)
х² - х - 2 = 0
Д = 1 - 4 × 1 × (-2) = 1 + 8 = 9. √9 = 3.
х1 = 1 + 3 / 2 = 4/2 = 2.
х2 = 1 - 3 / 2 = -2/2 = -1.
Ответ : -1 ; 2.
_____________________________
Удачи)))))

Answer 2

Качество не очень, но думаю правильно)

Answer 3

To solve the equation, we need to find the values of x that satisfy the equation:

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

First, let's simplify the equation by canceling out the common factor (x-2) from both sides:

(x - 1) = 3x + 1

Now, we can solve for x:

Expand the left side: x - 1 = 3x + 1

Isolate the x terms on one side: x - 3x = 1 + 1 -2x = 2

Now, divide both sides by -2 to get x: x = 2 / (-2) x = -1

So, the solution to the equation is x = -1.