\[y = \frac{5x^{2} + 4x - 1}{x + 1} - \frac{x^{2} - 4}{x - 2} =\]
\[= 5x - 1 - x - 2 = 4x - 3;\ \ \]
\[x \neq - 1;\ \ x \neq 2.\]
\[5x^{2} + 4x - 1 = 0\]
\[D_{1} = 4 + 5 = 9\]
\[x_{1} = \frac{- 2 + 3}{5} = \frac{1}{5};\ \ \ \]
\[x_{2} = \frac{- 2 - 5}{5} = - 1.\]
\[5x^{2} + 4x - 1 =\]
\[= 5 \cdot (x + 1)\left( x - \frac{1}{5} \right) =\]
\[= (x + 1)(5x - 1).\]
\[y = 4x - 3;\ \ x \neq - 1;\ \ x \neq 2.\]
\[x\] | \[0\] | \[2\] |
---|---|---|
\[y\] | \[- 3\] | \[5\] |