1)3<span>x²-12x=0
</span>x²-4x=0
<span>D=16-0=16 x1=(4-4)/2=0 x2=(4+4)/2=4
2)2</span><span>x²+x=0
</span><span>D=1-0=1 x1=(1-1)/4=0 x2=(1+1)/4=0/5
3)3</span><span>x²-27=0
</span>x²-9=0
<span>D=0+4*9=36 x1=(0-6)/2=-3 x2=(0+6)/2=3
4)4</span>x²-x=0
<span>D=1-0=1 x1=(1+1)/8=0.25 x2=(1-1)/8=0
5)2</span><span>x²-32=0
D=0+4*64=256 x1=(0-16)/4=-4 x2=(0+16)/4=4
6)4</span><span>x²+20x=0
</span>x²+5x=0
<span>D=25-0=25 x1=(-5-5)/2=-5 x2=(-5+5)/2=0
7)3</span>x²-12x=0
x²-4x=0
D=16+0=16 x1=(4-4)/2=0 x2=(4+4)/2=4
Решение на рисунке, надеюсь разборчиво.
А1.
а)12с² - 6с = 6с(2с-1)
б)24у² - 8у = 8у(3y-1)
в)16х²у² - 4х² = 4х²(4у² - 1)
г) 12х^4 - 18х² + 6х = 6х(2х³ - 3х + 1)
А.2
a) x(b+c)+5b+5c = xb+xc+5b+5c = x(b+c)+6(b+c) = (x+6)(b+c)
б) 4x-4y+ax-ay = 4(x-y)+a(x-y) = (4+a)(x-y)
B1.
x^4-8x³+6x-48 = x³(x-8)+6(x-8) = (x³+6)(x-8)
B2.
am² - 2n - bm² + an + 2m² - bn = m²(a - b - 2) + n(-2 + a - b) = (m² + n)(a - b -2)