Решите уравнение: 4x^2-25=0.

\[4x^{2} - 25 = 0\]

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

\[2x - 5 = 0\ \ \ \ \ \ \ \ 2x + 5 = 0\]

\[2x = 5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2x = - 5\]

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

\[x = 2,5\ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - 2,5\]

\[Ответ:\ x = \pm 2,5.\]