(2x-5)^2 - (2x-3)^2 = 0Expanding both squared terms:(4x^2 - 20x + 25) - (4x^2 - 12x + 9) = 0Distribute the negative sign in the second term:4x^2 - 20x + 25 - 4x^2 + 12x - 9 = 0Combine like terms:-8x + 16 = 0Add 8x to both sides:16 = 8xDivide by 8:x = 2
Ответ: x = 2
(2x-5)^2 - (2x-3)^2 = 0
Expanding both squared terms:
(4x^2 - 20x + 25) - (4x^2 - 12x + 9) = 0
Distribute the negative sign in the second term:
4x^2 - 20x + 25 - 4x^2 + 12x - 9 = 0
Combine like terms:
-8x + 16 = 0
Add 8x to both sides:
16 = 8x
Divide by 8:
x = 2
Ответ: x = 2