Решение №6202 Решите уравнение 6x + (x – 5)^2 = 62 + (x + 4)(x – 12).

Решение:

6x + (x – 5)² = 62 + (x + 4)(x – 12)
6x + x² – 10x + 25 = 62 + x² – 12x + 4x – 48
x² – 4x + 25 = 14 + x² – 8x
x² – 4x + 25 – 14 – x² + 8x = 0
4x + 11 = 0
4x = –11
x = –11/4
x = –2,75

Ответ: –2,75.