а)
10x²-3x-0,4=0,
Д = 9 + 16 = 25,
х1 = (3+5)/2*10 = 8/20 = 2/5 (или 0,4),
х2 = (3-5)/2*10 = -2/20 = -1/10 (или -0,1),
б)
7x²+6x-1=0,
Д = 36 + 28 = 64,
х1 = (-6+8)/2*7 = 2/14 = 1/7,
х2 = (-6-8)/2*7 = -14/14 = -1,
в)
3x²-4x+2=0,
Д = 16 - 24 = -8 -- корней нет,
г)
x²+12=7x,
х²-7х+12=0,
Д = 49 - 48 = 1,
х1 = (7+1)/2*1 = 8/2 = 4,
х2 = (7-1)/2*1 = 6/2 = 3,
д)
7y²+5y=2,
7у²+5у-2 = 0,
Д = 25 + 56 = 81,
х1 = (-5+9)/2*7 = 4/14 = 2/7,
х2 = (-5-9)/2*7 = -14/14 = -1,
е)
1+8x=9x²,
9х²-8х-1=0,
Д = 64 + 36 = 100,
х1 = (8+10)/2*9 = 18/18 = 1,
х2 = (8-10)/2*9 = -2/18 = -1/9