Вправи 1001 - 1100 » 1093 (б)

б) y = (〖3x〗^2- 7x+2)/(2-x); 3x2 – 7x + 2 = 3(x – 1/3)(x – 2) = (3x – 1)(x – 2) = (1 – 3x)(2 – x); D = (–7)2 – 4 • 3 • 2 = 49 – 24 = 25 = 52; x1 = (7-5)/6 = 2/6 = 1/3; x2 = (7+5)/6 = 12/6 = 2. y = (〖3x〗^2- 7x+2)/(2-x) = ((1-3x)(2-x))/(2-x) = 1 – 3x; y = 1 – 3x, x ≠ 2.