Question

Решите уравнение
0,6х^2-х=0,6

Answer 1

$0.6x^2 - x = 0.4 \\ 0.6x^2 - x - 0.4 = 0 \\ a = 0.6; b = -1; c = -0.4; \\ \\ \boxed{D = b^{2} - 4 ac} \\ \\ D = (-1)^2 - 4 \cdot (0.6) \cdot (-0.4) = 1 + 0,96 = 1.96 \\ \\ \boxed{x_{1, 2}= \dfrac {-b \pm \sqrt D}{2a}} \\ \\ \\ x_1 = \dfrac {1 - \sqrt {1.96}}{2 * 0.6} = \dfrac{1 - 1.4}{1.2} = -\dfrac {0.4}{1.2} = - \dfrac {1}{3} \\ \\ x_2 = \dfrac{1 + 1.4}{1.2} = \dfrac{2.4}{1.2} = 2$

Ответ: х=2 ; х=-1/3