Question

8 - 5 x^2 - 3x =0
решите уравнение​

Answer 1

Пошаговое объяснение:

$8 - {5x}^{2} - 3x = 0 \\ - {5x}^{2} - 3x + 8 = 0 \\ 5x ^{2} + 3x - 8 = 0 \\ x = \frac{ - 3 \pm \sqrt{ {3}^{2} - 4 \times 5( - 8) } }{2 \times 5} \\ x = \frac{ - 3 \pm \sqrt{169} }{10} \\ x = \frac{ - 3 \pm13}{10} \\ x = \frac{ - 3 - 13}{10} \: \: \: \: \: x = \frac{ - 3 + 13}{10} \\ x = - \frac{8}{5} = - 1.6 \: \: \: \: \: x = 1 \\ \\ \\ x_{1} = - 1.6 \: \: \: \: x_{2} = 1$