в) 6a² – (a + 2)² = -4(a – 4);

в) Решим уравнение $$6a^2 - (a + 2)^2 = -4(a - 4)$$.

Раскроем скобки: $$6a^2 - (a^2 + 4a + 4) = -4a + 16$$

$$6a^2 - a^2 - 4a - 4 = -4a + 16$$

$$5a^2 - 4a - 4 = -4a + 16$$

$$5a^2 - 4a + 4a - 4 - 16 = 0$$

$$5a^2 - 20 = 0$$

$$5a^2 = 20$$

$$a^2 = 4$$

$$a = \pm \sqrt{4}$$

$$a = \pm 2$$

Ответ: $$a_1 = 2$$, $$a_2 = -2$$