Вправи 888 - 1000 » 994 (в)

в) x2 – 10|x| + 24 = 0; 1) x < 0; x2 + 10x + 24 = 0; D = 102 – 4 • 1 • 24 = 100 – 96 = 4 = 22; x1 = (-10-2)/2 = (-12)/2 = –6; x2 = (-10+2)/2 = (-8)/2 = –4; 2) x ≥ 0; x2 – 10x + 24 = 0; D = (10)2 – 4 • 1 • 24 = 100 – 96 = 4 = 22; x1 = (10-2)/2 = 8/2 = 4; x2 = (10+2)/2 = 12/2 = 6. Відповідь: –6; –4; 4; 6.