Question

Решить уравнение:
А)5х+3х²=0;
Б)3х-1 х-1
----------- - -------=2;
5 2

Answer 1

А)

$5x + 3 {x}^{2} = 0 \\ 3 {x}^{2} + 5x = 0 \\ x(3x + 5) = 0 \\ x_1 = 0 \\ 3x + 5 = 0 \\ 3x = - 5 \\ x = \frac{ - 5}{3} \\ x_2 = - 1 \frac{2}{3}$

Б)

$\frac{3x - 1}{5} - \frac{x - 1}{2} = 2 \: \: \: \: | \cdot 10 \\ 2(3x - 1) - 5(x - 1) = 2 \cdot10 \\ 6x - 2 - 5x + 5 = 20 \\ x + 3 = 20 \\ x = 20 - 3 \\ x = 17$