Вправи 1001 - 1100 » 1097 (б)

б) х/(х^2-9) – 3/(x^2+2x-3) + (2x-5)/(x^2-4x+3) = 0; x^(\x-1)/((x-3)(x+3)) – 3^(\x-3)/((x+3)(x-1)) + 〖2x-5〗^(\x+3)/((x-1)(x-3)) = 0; (x^2-x-3x+9+ 〖2x〗^2+6x-5x-15)/((x-3)(x+3)(x-1)) = 0 (x (x – 3)(x + 3)(x – 1)); ОДЗ: x ≠ 3; x ≠ –3; x ≠ 1; 3x2 – 3x – 6 = 0 (: 3); x2 – x – 2 = 0; x1 + x2 = 1; x1 • x2 = –2; x1 = –1; x2 = 2. Відповідь: –1; 2.