Question

Корень из 3X-2=X+2 решите пожалуйста очень срочно

Answer 1

√(3х-2) = х + 2      Обе части возводим в квадрат.
3х - 2 = (х + 2)^2
3x - 2 = x^2 + 4x + 4
-x^2 + 3x - 4x - 2 - 4 = 0
-x^2 - x - 6 = 0
x^2 + x + 6 = 0
D = 1 - 4 * 6 = 1 - 24 = - 23;   √D < 0
Уравнение не имеет решения 

Answer 2

Solution to the Equation

The given equation is 3x-2=X+2. To solve for x, we can follow these steps:

1. First, let's isolate x on one side of the equation: - 3x - 2 = X + 2 - 3x = X + 2 + 2 - 3x = X + 4

2. Now, we can solve for x by dividing both sides by 3: - x = (X + 4) / 3

So, the solution to the equation 3x-2=X+2 is x = (X + 4) / 3.

Verification of the Solution

The solution obtained can be verified by substituting it back into the original equation and checking if it holds true.

Let's verify the solution: - Original equation: 3x-2=X+2 - Solution: x = (X + 4) / 3

Substituting the solution back into the original equation: - 3*((X + 4) / 3) - 2 = X + 2 - X + 4 - 2 = X + 2 - X + 2 = X + 2

The equation holds true, confirming that the solution x = (X + 4) / 3 is correct.

I hope this helps! If you have any other questions or need further assistance, feel free to ask.