Решебник по алгебре 8 класс Мерзляк Задание 763

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

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

\[x_{1} + x_{2} = 6,\ \ x_{1} = 5\]

\[x_{1} \cdot x_{2} = 5,\ \ x_{2} = 1\]

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

\[y = \frac{(x - 5)(x - 1)}{(x - 1)} = x - 5;\ \ \ \]

\[x \neq 1\]

\[y = x - 5,\ \ x \neq 1\ \]

\[2)\ y = \frac{3x^{2} - 10x + 3}{x - 3} - \frac{x^{2} - 4}{x + 2} =\]

\[= 3x - 1 - x + 2 = 2x + 1\]

\[3x^{2} - 10x + 3 = 0\]

\[x_{1} + x_{2} = \frac{10}{3},\ \ x_{1} = \frac{1}{3}\]

\[x_{1} \cdot x_{2} = 1,\ \ x_{2} = \frac{9}{3} = 3\]

\[y = 2x + 1;\ \ \ x \neq 3;\ \ x \neq - 2\]