a) 3x^2 - 24x + 21 = 0 | : 3x^2 - 8 + 7 = 0x1 = 7x2 = 13x^2 - 24x + 21 = 3(x-7)(x-1);б)5x^2 + 10x - 15 = 0 | : 5x^2 + 2x - 3 = 0x1 = -3x2 = 15x^2 + 10x - 15 = 5(x+3)(x-1);в)1/6x^2 + 1/2x + 1/3 = 0 | : 1/6x^2 + 3x + 2x = 0x1 = -2x2 = -11/6x^2 + 1/2x + 1/3 = 1/6(x+2)(x+1)г) x^2 - 12x + 20 = 0x1 = 10x2 = 2x^2 - 12x + 20 = (x-10)(x-2);д) -y^2 + 16y - 15 = 0 | : (-1)y^2 - 16y + 15 = 0y1 = 15y2 = 1-y^2 + 16y - 15 = -(x-15)(x-1);е) -x^2 - 8x + 9 = 0 | : (-1)x^2 + 8x - 9 = 0x1 = -9x2 = 1-x^2 - 8x + 9 = -(x+9)(x-1);ж) 2x^2 - 5x + 3 = 02x^2/2 - 5x + 3*2 = 0x -> aa^2 - 5a + 6 = 0a1 = 3a2 = 2 x1 = 3/2 = 1,5 x2 = 2/2 = 12x^2 - 5x + 3 = 2(x-1,5)(x-1);з) 5y^2 + 2y - 3 = 05y^2/5 + 2y - 3*5 = 0y -> tt^2 + 2t - 15 = 0t1 = -5t2 = 3 y1 = -5/5 = -1 y2 = 3/5 = 0,65y^2 + 2y - 3 = 5(y+1)(y-0,6);и) -2x^2 + 5x + 7 = 0 | : (-1)2x^2 - 5x - 7 = 02x^2/2 - 5x - 7*2 = 0x -> a a^2 - 5a - 14 = 0a1 = 7a2 = -2 x1 = 7/2 = 3,5 x2 = -2/2 = -1 -2x^2 + 5x + 7 = -2(x-3,5)(x+1);