1) а) 3х^-8x+5=0 D=64-60=4 (2) x1=8+2/6=10/6=5/3 x2=8-2/6=2/3 б) 4x^+x+67=0 D=1-4*4*67 D<0, корней нет<br> 2) a) 5x^+26x-24=0 D=676-4*(-24)*5=1156 (34) x1=34-26/10=0.8 x1=34+26/10=6 б) 4x^-12x+9=0 D=144-144=0 x=-12/8=-1.5 3) a) -x^+26x-25=0 D=676-100=576 (24) x1=-26+24/-2=1 x2=-26-24/-2=25 б) -5x^-9x+2=0 D=81+40=121 (11) x1=9+11/-10=-2 x2=9-11/-10=0.2 4) a) x^=4x+96 x^-4x-96=0 D=16+384=400 (20) x1=4+20/2=24/2=12 x2=4-20/2=-8 б) 2x^-2=3x 2x^-2-3x=0 D=9+16=25 (5) x1=3+5/4=2 x2=3-5/4=-0.5
1. а) 3х^2 - 8x + 5=0 D = 64 - 60 = 4 x1 = (8 + 2)/6 = 10/6 x2 = (8-2)/6 = 1 б) 4x^2 + x + 67 = 0 D = 1 - 1072 = -1071 не имеет решения 2. а) 5x^2 + 26x - 24 = 0 D = 676 + 480 = 1156 x1 = (-26 + 34)/10 = 0.8 x2 = (-26 - 34)/10 = -6 б) 4x^2 - 12x +9=0 D= 144 - 144 = 0 x1 = x2 = 12/8 3. a) -x^2 -26x - 25 = 0 x^2 + 26 +25=0 D=676-100=576 x1 = (-26 + 24)/2 = -1 x2 = (-26 - 24)/2 = -25 б) -5x^2 - 9x + 2=0 5x^2 + 9x - 2 =0 D=81 +40 = 121 x1 = (-9 + 11)/10 = 0.2 x2 = (-9-11)/10 = -2 4. а) x^2 - 4x - 96 = 0 D = 16 + 384 = 400 x1 = (4+ 20) / 2 = 12 x2 = (4-20)/2 = -8 б) 2x^2 - 3x - 2 =0 D= 9 + 16 = 25 x1 = (3+5)/4 = 2 x2=(3-5)/4 = -0.5