Question

(x+2)²+2x=(2x-2)²рраралнаншвнщадращнун​

Answer 1

Ответ:

x^2+4x+4+2x=4x^2-8x+4

x^2+4x+4+2x-4x^2+8x-4=0

-3x^2+14x=0

-x(3x-14)=0

x(3x-14)=0

x=0 или 3x-14=0

3x=14

x=14/3

x=4целых2/3

Answer 2

To solve the given equation, let's simplify and solve for x step by step:

Expand the squared terms on both sides of the equation: (x + 2)² + 2x = (2x - 2)² (x + 2)(x + 2) + 2x = (2x - 2)(2x - 2) (x² + 4x + 4) + 2x = (4x² - 8x + 4)

Now, simplify the equation further: x² + 4x + 4 + 2x = 4x² - 8x + 4

Rearrange the terms: x² + 4x + 2x + 4 - 4x² + 8x - 4 = 0

Combine like terms: x² + 2x - 4x² + 4x + 8x + 4 - 4 = 0 -3x² + 18x = 0

Factor out an x: x(-3x + 18) = 0

Now, we have two factors:

1. x = 0
2. -3x + 18 = 0

For the second factor, solve for x: -3x + 18 = 0 -3x = -18 x = -18 / -3 x = 6

So, the solution to the equation (x + 2)² + 2x = (2x - 2)² is x = 0 and x = 6.