Answer:

Answer:

1. x=-2 x=-1

2.x=-2 x=3

3.x=1 x=2

4.x=-3 x=-2

5.x=-3 x=4

Step-by-step explanation:

Step-by-step explanation:

1. x²+3x+2=0

= x²+2x+x+2=0

=x(x+2)+x+2=0

=(x+2)(x+1)=0

x+2=0 x+1=0

x= -2 x=-1

2. x²-x-6=0

=x²+2x-3x-6=0

=x(x+2)-3(x+2)=0

=(x+2)(x-3)=0

x+2=0 x-3=0

x=-2 x=3

3.x²-3x+2=0

=x²-x-2x+2=0

=x(x-1)-2(x-1)=0

=(x-1)(x-2)=0

x-1=0 x-2=0

x=1 x=2

4.x²+5x+6=0

=x²+3x+2x+6=0

=×(x+3)2(x+3)=0

=(x+3)(x+2)=0

x+3=0 x+2=0

x=-3 x=-2

5.x²-x-12=0

=x²+3x-4x-12=0

=x(x+3)-4(x+4)=0

=(x+3)(x-4)=0

x+3=0 x-4=0

x=-3 x=4