Вправи 1001 - 1100 » 1045 (б)

б) 2x² – 7x + 6 = 0 (: 2); x2 – 7/2x + 3 = 0; x1 + x2 = 7/2; x1 • x2 = 3. 1/x_1 + 1/x_2 = (x_2+x_1)/(x_1 x_2 ) = (7/2)/3 = 7/6; p = –7/6; 1/x_1 • 1/x_2 = 1/(x_1 x_2 ) = 1/3; q = 1/3; x² + рx + q = 0; x2 – 7/6x + 1/3 = 0 (×6) ; 6x² – 7x + 2 = 0.