Задание ЕГЭ
Найдите корень уравнения: (х – 9)2 = –36хРешение
Решение:
(x – 9)2 = –36x
x2 – 18x + 81 = –36x
x2 – 18x + 36x + 81 = 0
x2 + 18x + 81 = 0
x2 + 2·9·x + 92 = 0
(x + 9)2 = 0
x + 9 = 0
x = –9
Ответ: –9.
Решение:
(x – 9)2 = –36x
x2 – 18x + 81 = –36x
x2 – 18x + 36x + 81 = 0
x2 + 18x + 81 = 0
x2 + 2·9·x + 92 = 0
(x + 9)2 = 0
x + 9 = 0
x = –9
Ответ: –9.