Решите уравнение: 4x^2+20x+1=0.

\[4x^{2} + 20x + 1 = 0\]

\[D = 100 - 4 = 96\]

\[x_{1,2} = \frac{- 10 \pm 4\sqrt{6}}{4} = \frac{- 5 \pm 2\sqrt{6}}{2}.\]

\[Ответ:x = \frac{- 5 \pm \sqrt{6}}{2}.\]