Решебник по алгебре и начала математического анализа 10 класс Колягин Задание 203

\[\boxed{\mathbf{203}.}\]

\[1)\ A = \{ x:x \in N;2x < 5\}\]

\[x = \left\{ 1;2 \right\}.\]

\[2)\ M = \left\{ a:a \in Z;\ - 1\frac{1}{2} \leq a \leq 3 \right\}\]

\[a = \left\{ - 1;0;1;2;3 \right\}.\]

\[3)\ C = \{ x:x^{2} - 6x + 9 = 0\}\]

\[x^{2} - 6x + 9 = 0\]

\[(x - 3)^{2} = 0\]

\[x - 3 = 0\]

\[x = 3.\]

\[x = \left\{ 3 \right\}.\]

\[4)\ X = \{ x:x^{2} + 3x - 4 = 0\}\]

\[x^{2} + 3x - 4 = 0\]

\[x_{1} + x_{2} = - 3;\ \ x_{1} \cdot x_{2} = - 4\]

\[x_{1} = - 4;\ \ \ x_{2} = 1.\]

\[x = \left\{ - 4;1 \right\}.\]