Решите уравнение 36-(6-x)^2=x(2,5-x).

Ответ:

\[36 - (6 - x)^{2} = x(2,5 - x)\]

\[36 - \left( 36 - 12x + x^{2} \right) = 2,5x - x^{2}\]

\[36 - 36 + 12x - x^{2} - 2,5x + x^{2} = 0\]

\[9,5x = 0\]

\[x = 0.\]