Question

пожааааааааааалуйстаааа​

Answer 1

Ответ:

$x_{1} = 1 \frac{1}{3} \\ x_{2} = 2$

Объяснение:

$\frac{2}{2x - 1} + \frac{3}{x - 3} = \frac{1 + x}{x - 3} + \frac{x}{2x - 1} \\ \\ \frac{2}{2x - 1} + \frac{3}{x - 3} - \frac{1 + x}{x - 3} - \frac{x}{2x - 1} = 0 \\ \\ \frac{2(x - 3) + 3(2x - 1) - (1 + x)(2x - 1) - x(x - 3)}{(2x - 1)(x - 3)} = 0 \\ \frac{2x - 6 + 6x - 3 - 2x + 1 - 2 {x}^{2} + x - {x}^{2} + 3x }{(2x - 1)(x - 3)} = 0 \\ odz: \: \: 2x - 1≠0 \: \: \: x - 3≠0 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: x≠ \frac{1}{2} \: \: \: \: \: \: \: \: \: \: \: x≠3\\ - 3 {x}^{2} + 10x - 8 = 0 \\ \\ d = 100 - 4 \times ( - 3) \times ( - 8) = 100 - 96 = 4 \\ x_{1} = \frac{ - 10 + \sqrt{4} }{2 \times ( - 3)} = \frac{ - 10 + 2}{ - 6} = \frac{ - 8}{ - 6} = 1 \frac{1}{3} \\ x_{2} = \frac{ - 10 - \sqrt{4} }{2 \times ( - 3)} = \frac{ - 10 - 2}{ - 6} = \frac{ - 12}{ - 6} = 2$