Question

(3x - 1) (x - 2) = x - 2x (x - 4)​

Answer 1

Ответ:

(3x - 1) (x - 2) = x - 2x (x - 4)​

3х²-6х-х+2=х-2х²+8х

3х²+2х²-7х-9х+2=0

5х²-16х+2=0

D=64-5*2= 54

х1,2= 8±3√6 / 5

Answer 2

Смотри..................

Answer 3

To solve the equation (3x - 1)(x - 2) = x - 2x(x - 4), we can start by simplifying both sides of the equation:

(3x - 1)(x - 2) = x - 2x(x - 4)

Expanding the left side using the distributive property:

3x(x - 2) - 1(x - 2) = x - 2x(x - 4)

Simplifying further:

3x^2 - 6x - x + 2 = x - 2x^2 + 8x

Combining like terms:

3x^2 - 7x + 2 = x - 2x^2 + 8x

Rearranging the terms:

3x^2 + 2x^2 + 7x - x - 8x - 2 = 0

Combining like terms again:

5x^2 - 2x - 2 = 0

Now, we have a quadratic equation in standard form. To solve this quadratic equation, we can either factor it or use the quadratic formula. Let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our equation, a = 5, b = -2, and c = -2. Substituting these values into the quadratic formula:

x = (-(-2) ± √((-2)^2 - 4 * 5 * (-2))) / (2 * 5)

Simplifying:

x = (2 ± √(4 + 40)) / 10

x = (2 ± √44) / 10

x = (2 ± 2√11) / 10

Simplifying further:

x = (1 ± √11) / 5

Therefore, the solutions to the equation are:

x = (1 + √11) / 5 x = (1 - √11) / 5