Решите уравнение: 10n^2-9n+2=0.

Ответ:

\[10n² - 9n + 2 = 0\]

\[D = ( - 9)^{2} - 4 \cdot 10 \cdot 2 =\]

\[= 81 - 80 = 1\]

\[n_{1} = \frac{9 + \sqrt{1}}{2 \cdot 10} = \frac{9 + 1}{20} = \frac{10}{20} =\]

\[= \frac{1}{2} = 0,5;\]

\[n_{2} = \frac{9 - \sqrt{1}}{2 \cdot 10} = \frac{9 - 1}{20} = \frac{8}{20} =\]

\[= \frac{2}{5} = 0,4.\]

\[Ответ:x = 0,5;x = 0,4.\ \]