Ответ(ы) на вопрос:
Гость[latex] \frac{x}{x-2} [/latex] - [latex] \frac{7}{x+2} [/latex] = [latex] \frac{8}{ x^{2} -4} [/latex]
[latex] \frac{x}{x-2} [/latex] - [latex] \frac{7}{x+2} [/latex] - [latex] \frac{8}{ x^{2} -4} [/latex] = 0
[latex] \frac{x}{x-2} [/latex] - [latex] \frac{7}{x+2} [/latex] - [latex] \frac{8}{(x-2)(x+2)} [/latex] = 0
[latex] \frac{x(x+2)-7(x-2)-8}{(x-2)(x+2)} [/latex] = 0
[latex] \frac{ x^{2}+2x-7x+14-8}{(x-2)(x+2)} [/latex] = 0
[latex] \frac{ x^{2}-5x+6}{(x-2)(x+2)} [/latex] = 0
[latex] \frac{ x^{2}-2x-3x+6}{(x-2)(x+2)} [/latex] = 0
[latex] \frac{x(x-2)-3(x-2)}{(x-2)(x+2)} [/latex] = 0
[latex] \frac{(x-3)(x-2)}{(x-2)(x+2)} [/latex] = 0
[latex] \frac{x-3}{x+2} [/latex] = 0
x-3=0
x=3, [latex]x \neq -2; x \neq 2[/latex]
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