Question

решите пример пожалуйста

Answer 1

Ответ:

$\frac{x - 20}{ {x}^{2} + 10x } + \frac{20}{ {x}^{2} - 100} - \frac{5}{ {x}^{2} - 10x } = 0$

х ≠ 0; х ≠ 10; х≠ –10

$\frac{(x - 10)(x - 20) + 10x - 5(x \times + 10)}{x(x - 10 )( x + 10)} = 0$

$\frac{ {x}^{2} - 20x - 10x + 200 + 10x - 5x - 50 }{x(x - 10 )(x + 10 )} = 0$

$\frac{{x}^{2} - 10x - 15x + 150}{x(x - 10)(x + 10)} = 0$

$\frac{x( x- 10) - 15(x - 10)}{x(x + 10)(x - 10)} = 0$

$\frac{x - 15}{x(x + 10)} = 0$

х – 15 = 0

х = 15