Question

(x + 1)^2= (2-x)^2 срочно пожалуйста​

Answer 1

Ответ: х=0,5

Объяснение:

$(x+1)^{2} =(2-x)^{2} \\ |x+1| = |2-x|\\x+1=2-x$

или

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

Первое уравнение

x+1=2-x

х=0,5

Второе уравнение

x+1=-(2-x)

1= -2

Утверждение ложно, значит х є Ø

Answer 2

Solving the Equation

To solve the equation (x + 1)^2 = (2 - x)^2, we can start by expanding both sides of the equation and then solving for the variable x.

Expanding the left side: (x + 1)^2 = x^2 + 2x + 1

Expanding the right side: (2 - x)^2 = (2 - x)(2 - x) = 4 - 4x + x^2

Now, we can set the expanded expressions equal to each other and solve for x: x^2 + 2x + 1 = 4 - 4x + x^2

Simplify the equation: 2x + 1 = 4 - 4x

Add 4x to both sides: 2x + 4x + 1 = 4

Combine like terms: 6x + 1 = 4

Subtract 1 from both sides: 6x = 3

Divide by 6: x = 3/6

So, the solution to the equation (x + 1)^2 = (2 - x)^2 is x = 1/2.