Вправи 888 - 1000 » 994 (г)

г) 6x2 + 5|x| – 1 = 0; 1) x < 0; 6x2 – 5x – 1 = 0; D = (–5)2 – 4 • 6 • (–1) = 25 + 24 = 49 = 72. x1 = (5-7)/12 = (-2)/12 = –1/6; x2 = (5+7)/12 = 12/12 = 1 – не задовольняє умову; 2) х ≥ 0; 6x2 + 5x – 1 = 0; D = 52 – 4 • 6 • (–1) = 25 + 24 = 49 = 72; x1 = (-5-7)/12 = (-12)/12 = –1 – не задовольняє умову. х2 = (-5+7)/12 = 2/12 = 1/6; Відповідь: –1/6; 1/6.