Question

1) (4х+1)(2х-2)-8х(х+4)=12х-98 2) 3(х-2)-4(х+1)=5(2-х) 3) (х-1)2-52=(х-1)(х+1)

Answer 1

Ответ:

1)х=1,92;2)5,25;3)х=53;1-х=53 х=-52.

Answer 2

Let's solve the equations one by one:

1. (4x+1)(2x-2) - 8x(x+4) = 12x - 98

Expanding the equation:

(8x^2 - 8x + 2x - 2) - (8x^2 + 32x) = 12x - 98

Simplifying the equation:

8x^2 - 8x + 2x - 2 - 8x^2 - 32x = 12x - 98

Combine like terms:

-38x - 2 = 12x - 98

Move the variables to one side and the constants to the other side:

-38x - 12x = -98 + 2

-50x = -96

Divide both sides by -50:

x = -96 / -50

x = 48/25 or approximately 1.92

Therefore, the solution to the equation is x = 48/25 or approximately 1.92.

2. 3(x-2) - 4(x+1) = 5(2-x)

Expanding the equation:

3x - 6 - 4x - 4 = 10 - 5x

Combine like terms:

-x - 10 = 10 - 5x

Move the variables to one side and the constants to the other side:

-x + 5x = 10 + 10

4x = 20

Divide both sides by 4:

x = 20 / 4

x = 5

Therefore, the solution to the equation is x = 5.

3. (x-1)^2 - 5^2 = (x-1)(x+1)

Expanding the equation:

(x^2 - 2x + 1) - 25 = x^2 - 1

Simplifying the equation:

x^2 - 2x + 1 - 25 = x^2 - 1

Combine like terms:

x^2 - 2x - 24 = x^2 - 1

Move the variables to one side and the constants to the other side:

x^2 - x^2 - 2x = 24 - 1

-2x = 23

Divide both sides by -2:

x = 23 / -2

x = -11.5

Therefore, the solution to the equation is x = -11.5.