Решение:
(2x-3)(2x+3)-(2x-1)^2 = 0Раскроем скобки:4x^2 - 9 - (2x-1)^2 = 04x^2 - 9 - (4x^2 - 4x + 1) = 04x^2 - 9 - 4x^2 + 4x - 1 = 04x - 10 = 04x = 10x = 10/4x = 2.5
Ответ: x = 2.5.
Решение:
(2x-3)(2x+3)-(2x-1)^2 = 0
Раскроем скобки:
4x^2 - 9 - (2x-1)^2 = 0
4x^2 - 9 - (4x^2 - 4x + 1) = 0
4x^2 - 9 - 4x^2 + 4x - 1 = 0
4x - 10 = 0
4x = 10
x = 10/4
x = 2.5
Ответ: x = 2.5.