Разложите на множители: 4x^2-11x+6=0.

\[4x^{2} - 11x + 6 = 0\]

\[D = 121 - 96 = 25\]

\[x_{1} = \frac{(11 + 5)}{8} = 2;\]

\[x_{2} = \frac{11 - 5}{8} = \frac{6}{8} = \frac{3}{4};\ \]

\[4x^{2} - 11x + 6 =\]

\[= 4\left( x - \frac{3}{4} \right)(x - 2) =\]

\[= (4x - 3)(x - 2).\]