Question

(x - 2)² + (x-3)² = 2x²​

Answer 1

Ответ:1,3

Пошаговое объяснение:

Answer 2

Let's solve the given equation:

(x - 2)² + (x - 3)² = 2x²

Step 1: Expand the squares:

(x - 2)(x - 2) + (x - 3)(x - 3) = 2x²

Step 2: Simplify:

(x² - 4x + 4) + (x² - 6x + 9) = 2x²

Step 3: Combine like terms:

2x² - 10x + 13 = 2x²

Step 4: Move all terms to one side to set the equation to zero:

2x² - 2x² - 10x + 13 = 0

Step 5: Simplify further:

-10x + 13 = 0

Step 6: Move the constant term to the other side:

-10x = -13

Step 7: Solve for x by dividing both sides by -10:

x = -13 / -10

Step 8: Simplify the fraction:

x = 13/10

So, the solution to the equation is x = 13/10 or x = 1.3.