Задание 6. Решите уравнение: 1) √x = 5; 2) √x = 9; 3) √x = 12; 4) √x = 14; 5) x² = 16; 6) x² = 49; 7) x² = 100; 8) x² = 225.

1. \(\sqrt{x}=5\Rightarrow x=5^2=25\).
2. \(\sqrt{x}=9\Rightarrow x=9^2=81\).
3. \(\sqrt{x}=12\Rightarrow x=12^2=144\).
4. \(\sqrt{x}=14\Rightarrow x=14^2=196\).
5. \(x^2=16\Rightarrow x=\pm4\).
6. \(x^2=49\Rightarrow x=\pm7\).
7. \(x^2=100\Rightarrow x=\pm10\).
8. \(x^2=225\Rightarrow x=\pm15\).

Ответ: 1) \(x=25\); 2) \(x=81\); 3) \(x=144\); 4) \(x=196\); 5) \(x=\pm4\); 6) \(x=\pm7\); 7) \(x=\pm10\); 8) \(x=\pm15\).