Сократите дробь: (2x^2-5x-3)/(3-x).

Ответ:

\[\frac{2x^{2} - 5x - 3}{3 - x} =\]

\[= - \frac{(2x + 1)(x - 3)}{x - 3} = - 2x - 1.\]

\[2x^{2} - 5x - 3 =\]

\[= 2(x + 0,5)(x - 3) =\]

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

\[D = 25 + 24 = 49\]

\[x_{1} = \frac{5 + 7}{4} = 3;\]

\[x_{2} = \frac{5 - 7}{4} = - \frac{2}{4} = - 0,5.\]