4. Решите уравнение и сделайте проверку: в) 9-16y²=0;

9 - 16y² = 0
16y² = 9
y² = \(\frac{9}{16}\)
y = ±\(\sqrt{\frac{9}{16}}\)
y = ±\(\frac{3}{4}\)

Проверка:
1) y = \(\frac{3}{4}\): 9 - 16 * \(\frac{3}{4}\)² = 9 - 16 * \(\frac{9}{16}\) = 9 - 9 = 0
2) y = -\(\frac{3}{4}\): 9 - 16 * \(- \frac{3}{4}\)² = 9 - 16 * \(\frac{9}{16}\) = 9 - 9 = 0
Ответ: y₁ = \(\frac{3}{4}\), y₂ = -\(\frac{3}{4}\)