4. Решите уравнение $$12-(4-x)^2 = x(3-x)$$.

$$12 - (4 - x)^2 = x(3 - x)$$ $$12 - (16 - 8x + x^2) = 3x - x^2$$ $$12 - 16 + 8x - x^2 = 3x - x^2$$ $$-4 + 8x - x^2 = 3x - x^2$$ $$8x - 3x = 4$$ $$5x = 4$$ $$x = \frac{4}{5}$$ **Ответ: $$x = \frac{4}{5}$$**