Solve Each Quadratic Equation By Factoring., 1. X\Xb2+3x+2=0, 2. X\Xb2-9x=-20, 3. X\Xb2+5x=-6, 4. X\Xb2-20x+100, 5. X\Xb2+6=7x

Solve each quadratic equation by factoring.

1. x²+3x+2=0
2. x²-9x=-20
3. x²+5x=-6
4. x²-20x+100
5. x²+6=7x

 

Answer:

1. x²+3x+2=0

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

x+2=0 | x+1=0

x=-2 | x=-1

2. x²-9x=-20

x²-9x+20=0

(x+5)(x-4)=0

x+5=0 | x-4=0

x=-5 | x=4

3. x²+5x=-6

x²+5x+6=0

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

x+3=0 | x+2=0

x=-3 | x=-2

4. x²-20x+100

(x-10)(x-10)

x-10=0 | x-10=0

x=10 | x=10

5. x²+6=7x

x²+6-7x=0

x²-7x+6=0

(x-6)(x-1)=0

x-6=0 | x-1=0

x=6 | x=1