а) 2x²-3x+1=0
2x²-x-2x+1=0
x(2x-1)-(2x-1)=0
(2x-1)(x-1)=0
1) 2x-1 = 0
2x=1
2) x-1 = 0
x=1
б) 4x²+7x+3=0
4x²+4x+3x+3=0
4x(x+1)+3(x+1)=0
(x+1)(4x+3)=0
в) 3x²-10x-8=0
3x²+2x-12x+8=0
x(3x+2)-4(3x+2)=0
(3x+2)(x-4)=0
3x+2 = 0
x-4 = 0
г) 3x²+5x-2=0
3x²+6x-x-2=0
3x(x+2)-(x+2)=0
(x+2)(3x-1)=0
x+2=0
3x-1=0
1) 0,3x+8=2 0.3x=2-8 0.3x=-6 x=-6/0.3 x = -20
2) 4-x=1+4x -x-4x=1-4 -5x=-3 x=-3/(-5) x = 0.6
3) 7-2(x+3)=9-6x -2x+6x=9-7+6 4x=8 x=8/4 x = 2
4) 4(x-0.5)-2(x+0.3)=-2.6 4x-2x = -2.6+2+0.6 2x = 0 x=0/2 x = 0
5) 0.4x-6= -12 0.4x = -12+6 0.4x = -6 x = -6/0.4 x = -15
6) x+6=5+4x x-4x=5-6 -3x = -1 x = -1/(-3) x = 1/3
7) 13-3(x+1) = 4-5x -3x +5x = 4-13+3 2x = -6 x = -6/2 x = -3
8) 0.2(3x-5)-0.3(x-1) = -0.7 0.6x - 0.3x = -0.7+1-0.3 0.3x = 0 x = 0/0.3 x = 0
а)2х²-3х+1=0
D=9-4*2*1=1
х1=3-1/4=0,5
х2=3+1/4=1
б)D=49-4*4*3=1
х1=-7-1/8=-1
х2=-7+1=-0,75