5. Решите уравнение $$\frac{1}{4}x^3 - 0,09x = 0$$.

$$\frac{1}{4}x^3 - 0,09x = 0$$ $$\frac{1}{4}x^3 - \frac{9}{100}x = 0$$ x(\frac{1}{4}x^2 - \frac{9}{100}) = 0 $$x = 0$$ или $$\frac{1}{4}x^2 - \frac{9}{100} = 0$$ $$\frac{1}{4}x^2 = \frac{9}{100}$$ $$x^2 = \frac{36}{100}$$ $$x = \pm \frac{6}{10} = \pm 0,6$$ Ответ: $$x = 0, x = 0,6, x = -0,6$$