Решите уравнение: (5x+4)(x-1)=14.

Ответ:

\[(5x + 4)(x - 1) = 14\]

\[5x^{2} + 4x - 5x - 4 - 14 = 0\]

\[5x^{2} - x - 18 = 0\]

\[D = 1 + 360 = 361\]

\[x_{1} = \frac{1 + 19}{10} = 2;\]

\[x_{2} = \frac{1 - 19}{10} = - \frac{18}{10} = - 1,8.\]

\[Ответ:x = - 1,8;x = 2.\]