ГДЗ по алгебре и начала математического анализа 10 класс Алимов Задание 1478

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\[1)\ y = 2x^{2} - 5x + 6\]

\[с\ осью\ Ox\ (y = 0):\]

\[2x^{2} - 5x + 6 = 0\]

\[D = 25 - 48 = - 23 < 0\]

\[корней\ нет;\]

\[С\ осью\ Oy\ (x = 0):\]

\[y = 2 \bullet 0^{2} - 5 \bullet 0 + 6 = 6.\]

\[Ответ:\ \ (0;\ 6).\]

\[2)\ y = 2x^{2} - 5x + 2\]

\[С\ осью\ Ox\ (y = 0):\]

\[2x^{2} - 5x + 2 = 0\]

\[D = 5^{2} - 4 \bullet 2 \bullet 2 = 25 - 16 = 9\]

\[x_{1} = \frac{5 - 3}{2 \bullet 2} = 0,5;\text{\ \ }\]

\[x_{2} = \frac{5 + 3}{2 \bullet 2} = 2.\]

\[С\ осью\ Oy\ (x = 0):\]

\[y = 2 \bullet 0^{2} - 5 \bullet 0 + 2 = 2.\]

\[Ответ:\ \ (0,5;\ 0);\ \ (2;\ 0);\ \ (0;\ 2).\]