(2x-11)^2 = (2x-9)^24x^2 - 44x + 121 = 4x^2 - 36x + 81Simplify:-44x + 121 = -36x + 81Subtract -4x from both sides:-8x + 121 = 81Subtract 121 from both sides:-8x = -40Divide by -8:x = 5
Проверка:(25 - 11)^2 = (25 - 9)^2(10 - 11)^2 = (10 - 9)^2(-1)^2 = (1)^21 = 1
Ответ: x = 5.
(2x-11)^2 = (2x-9)^2
4x^2 - 44x + 121 = 4x^2 - 36x + 81
Simplify:
-44x + 121 = -36x + 81
Subtract -4x from both sides:
-8x + 121 = 81
Subtract 121 from both sides:
-8x = -40
Divide by -8:
x = 5
Проверка:
(25 - 11)^2 = (25 - 9)^2
(10 - 11)^2 = (10 - 9)^2
(-1)^2 = (1)^2
1 = 1
Ответ: x = 5.