Решите уравнение: (2x^2+6)/13=13x/13.

\[\frac{2x^{2} + 6}{13} = \frac{13x}{13}\ \ \ \ \ | \cdot 13\]

\[2x^{2} + 6 = 13x\]

\[2x^{2} - 13x + 6 = 0\]

\[D = 169 - 48 = 121\]

\[x_{1} = \frac{13 + 11}{4} = 12;\ \]

\[x_{2} = \frac{13 - 11}{4} = \frac{2}{4} = 0,5.\]

\[Ответ:x = 0,5;x = 12.\]