a) Найдите значение выражения $$\frac{2x^2-3x+1}{24}$$
Ответ: 5, 2, 3, 4, 6, 1
При $$x = 5$$
$$\frac{2 \cdot 5^2 - 3 \cdot 5 + 1}{24} = \frac{2 \cdot 25 - 15 + 1}{24} = \frac{50 - 15 + 1}{24} = \frac{36}{24} = \frac{3}{2} = 1,5$$При $$x = 2$$
$$\frac{2 \cdot 2^2 - 3 \cdot 2 + 1}{24} = \frac{2 \cdot 4 - 6 + 1}{24} = \frac{8 - 6 + 1}{24} = \frac{3}{24} = \frac{1}{8} = 0,125$$При $$x = 3$$
$$\frac{2 \cdot 3^2 - 3 \cdot 3 + 1}{24} = \frac{2 \cdot 9 - 9 + 1}{24} = \frac{18 - 9 + 1}{24} = \frac{10}{24} = \frac{5}{12} \approx 0,417$$При $$x = 4$$
$$\frac{2 \cdot 4^2 - 3 \cdot 4 + 1}{24} = \frac{2 \cdot 16 - 12 + 1}{24} = \frac{32 - 12 + 1}{24} = \frac{21}{24} = \frac{7}{8} = 0,875$$При $$x = 6$$
$$\frac{2 \cdot 6^2 - 3 \cdot 6 + 1}{24} = \frac{2 \cdot 36 - 18 + 1}{24} = \frac{72 - 18 + 1}{24} = \frac{55}{24} \approx 2,292$$При $$x = 1$$
$$\frac{2 \cdot 1^2 - 3 \cdot 1 + 1}{24} = \frac{2 - 3 + 1}{24} = \frac{0}{24} = 0$$