Question

Корень 2-x=x- 2 решить

Answer 1

Переносишь х в одну сторону, известные числа в другую, получается: 
-2х=-4
  х= -4: -2
  х=2

Answer 2

To solve the equation √(2 - x) = x - 2, we need to find the value of x that satisfies the equation. Let's go step-by-step to solve it:

Step 1: Isolate the radical term √(2 - x) = x - 2

Step 2: Square both sides to eliminate the square root (Note: Squaring both sides may introduce extraneous solutions, so we will need to verify our answers later) (√(2 - x))^2 = (x - 2)^2 2 - x = (x - 2)^2

Step 3: Expand the right side 2 - x = x^2 - 4x + 4

Step 4: Move all terms to one side of the equation x^2 - 4x + 4 + x - 2 = 0

Step 5: Combine like terms x^2 - 3x + 2 = 0

Step 6: Factor the quadratic equation (or use the quadratic formula) (x - 2)(x - 1) = 0

Step 7: Set each factor to zero and solve for x x - 2 = 0 or x - 1 = 0

Step 8: Solve for x x = 2 or x = 1

Step 9: Verify solutions Substitute x = 2 and x = 1 back into the original equation √(2 - x) = x - 2 to check if they are valid solutions:

For x = 2: √(2 - 2) = 2 - 2 √0 = 0 0 = 0 (True)

For x = 1: √(2 - 1) = 1 - 2 √1 = -1 (Not True)

So, the solution is x = 2. The solution x = 1 is extraneous and should be discarded since it does not satisfy the original equation. Therefore, the only valid solution is x = 2.