X²-3x=18
x²-3x-18=0
D=(-3)²-4.1.(-18)=9+72=81,√D=√81=9
x1=(3+9)/2=12/2=6
x2=(3-9)/2=-6/2=-3
Otvet: x1=6, x2=-3
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<span>1. х²+х-42 = 0
По теореме Виета x1+x2 = -1, x1*x2 = -42. Полуаем x1 = -7, x2=6
</span><span>х²+х-42 = (x+7)(x-6)
</span>2. <span>8х²+10х+3 = 0
D = (-10)^2 - 4*8*3 = 100 - 96 = 4
x1,2 = (-10 +/- 2)/16
x1 = (-10+2)/16 = -0,5
x2 = (-10-2)/16 = -12/16 = -3/4 = -0,75
</span><span>8х²+10х+3 = 8(x+0,5)(x+0,75)</span>
N2+5n-n2-2n+3n+6=6n+6
6n+6 можно дел на 6 при всех целых n