Question

Умоляю решите 3 дробь x потом +3 дробь x+2=4

Answer 1

$\frac{3}{x} + \frac{3}{x + 2} = 4$
ОДЗ:
Х не равно 0,
Х не равно -2
$\frac{3}{x} + \frac{3}{x + 2} = 4 \: \: \: ( \times x(x + 2)) \\ 3(x + 2) + 3x = 4(x(x + 2) \\ 3x + 6 + 3x = 4( {x}^{2} + 2x) \\ 6x + 6 = 4 {x}^{2} + 8x \\ - 4 {x}^{2} - 2x + 6 = 0 (\times(-1))\\ 4 {x}^{2} + 2x - 6 = 0 \\ d = 4 + 6 \times 4 \times 4 = 4 + 24 \times 4 = 4 + 96 = 100 \\ x1 = \frac{ - 2 + 10}{8} = 1 \\ x2 = \frac{ - 2 - 10}{8} = - 1.5$
Ответ: х = 1 или х = -1,5