Вправи 1001 - 1100 » 1041 (в-г)

в) 1/3 і –11/2; x² + рx + q = 0; 1/3 – 11/2 = 1^(\2)/3 – 3^(\3)/2 = (2-9)/6 = –7/6; р = 7/6; 1/3 • (–11/2) = 1/3 • (–3/2) = –1/2; q = –1/2; x2 + 7/6x – 1/2 = 0 (×6) ; 6x² + 7x – 3 = 0. г) (3- √7)/2 і (3+√7)/2. x² + рx + q = 0; (3-√7)/2 + (3+√7)/2 = (3-√7 +3+√7 )/2 = 6/2 = 3; р = –3; (3-√7)/2 • (3+√7)/2 = (9-7)/4 = 2/4 = 1/2; q = 1/2; x2 – 3x + 1/2 = 0 (×2); 2x² – 6x + 1 = 0.