Question

Помогите пожалуйста решить

Answer 1

$1)quad x leq 7- frac{16}{x+1} ; ,; ; ; ; ODZ:; xne -1\\x-7+frac{16}{x+1} leq 0\\ frac{(x-7)(x+1)+16}{x1} leq 0\\ frac{x^2-6x+9}{x+1} leq 0\\ frac{(x-3)^2}{x+1} leq 0quad ---(-1)+++[3]+++\\xin (-infty ,-1)U{3}$

$2)quad frac{1}{2x^2-x-3} + frac{1}{3x^2+x-2} = frac{1}{6x^2+7x+1} \\ODZ:; 2x^2-x-3ne0,; 3x^2+x-2ne 0,; 6x^2+7x+1ne 0; to\\xne -1;; xne frac{3}{2};; xne frac{2}{3};; xne -frac{1}{6}\\ frac{1}{2(x+1)(x-frac{3}{2})} + frac{1}{3(x+1)(x-frac{2}{3})} - frac{1}{6(x+1)(x+frac{1}{6})} =0\\ frac{(3x-2)(6x+1)+(2x-3)(6x+1)-(2x-3)(3x-2)}{(x+1)(2x-3)(3x-2)(6x+1)} =0\\ frac{18x^2-9x-2+12x^2-16x-3-6x^2-13x+6}{(x+1)(2x-3)(3x-2)(6x+1)} =0\\ 24x^2-38x+1 =0\\D/4=337$

$x_1= frac{19-sqrt{337}}{24} ; ;; ; x_2= frac{19+sqrt{337}}{24}$