Вправи 888 - 1000 » 1000 (б)

б) х/(х+2) – (3(х+2))/х = 2; х/(х+2) = t, t ≠ 0; t – 3/t = 2; t^(\t) – 3/t – 2^(\t) = 0; (t^2- 3-2t)/t = 0 (x t); t2 – 2t – 3 = 0; D = (–2)2 – 4 • 1 • (–3) = 4 + 12 = 16 = 42; t1 = (2-4)/2 = (-2)/2 = –1; t2 = (2+4)/2 = 6/2 = 3; x/(x+2) = –1; x/(x+2) = 3. x = –x – x; x = 3x + 6; x + x = –2; x – 3x = 6; 2x = –2; –2x = 6; x = –1. x = –3. Відповідь: –1; –3.