109.a) x²+22x-23=(x+23)(x-1)x²+22x-23=0D=484+92=576x₁=
-22-24=-23 2x₂=
-22+24=1 2б) -3x²-8x+3=-3(x+3)(x-
1) =(x+3)(x-3x) 3-3x²-8x+3=03x²+8x-3=0D=64+4*3*3=100x₁=
-8-10=-3 6x₂=
-8+10=
1 6 3в) -x²+18x-77=-(x-7)(x-11)=(7-x)(x-11)-x²+18x-77=0x²-18x+77=0D=324-308=16x₁=
18-4=7 2x₂=
18+4=11 2г) 7x²+9x+2=7(x+1)(x+
2)=(x+1)(7x+2) 77x²+9x+2=0D=81-56=25x₁=
-9-5=-1 14x₂=
-9+5=
-2 14 7110.a)
x²+2x-63 =
-(x+9)(x-7) =
-(x+9)(x-7)= -
(x+9) 49-x² x²-49 (x-7)(x+7) x+7x²+2x-63=0D=4+4*63=4+252=256x₁=
-2-16=-9 2x₂=
-2+16=7 2б)
6x²+x =
x(6x+1) =
x(6x+1) =
x 6x²-17x-3 6(x+
1)(x-3) (6x+1)(x-3) x-3 66x²-17x-3=0D=289+4*6*3=289+72=361x₁=
17-19=
-1 12 6x₂=
17+19=3 12в)
8x-x² =
x(8-x) =
-x(x-8) =
-x x²-3x-40 (x+5)(x-8) (x+5)(x-8) x+5x²-3x-40=0D=9+160=169x₁=
3-13=-5 2x₂=
3+13=8 2г)
5x²-12x+4 =
5(x-0.4)(x-2)=
(5x-2)(x-2) =
x-2 25x²-4 (5x-2)(5x+2) (5x-2)(5x+2) 5x+25x²-12x+4=0D=144-80=64x₁=
12-8=0.4 10x₂=
12+8=2 10