Question

7x^2=6-11х *
2 балла
-7; 2/7
-2; 6/7
-2; 3
-2; 3/7

Answer 1

$7 {x}^{2} = 6 - 11x \\ 7 {x}^{2} + 11x - 6 = 0 \\ D = 11 {}^{2} - 4 \times ( - 6) \times 7 = 121 + 168 = 289 \: (17) \\ x_{1} = \frac{ - 11 + 17}{14} = \frac{6}{14} = \frac{3}{7} \\ x_{2} = \frac{ - 11 - 17}{14} = \frac{ - 28}{14} = - 2 \\ Ответ: - 2 \: ; \: \frac{3}{7}$