Tex] Решите уравнение:(5n-3)^2-(5n+2)(5n-2)=-47.[/tex]
1) (5N - 3)^2 = 25N^2 - 30N + 9
2) (5N +2)*(5N-2) = 25N^2 - 4
3) 25N^2 - 30N + 9 - 25N^2 + 4 = -47
- 30N + 13 = - 47
- 30N = - 60
N = 2
ОТВЕТ: N = 2