quadratic equations

Solving quadratic equations by factoring.

100

x2+5x+6=0

x= -2 0r x=-3

200

2x2+7x+3=0

x=-1/2 or x=-3

300

x2-9=0

x=3 or x=-3

400

3x2+6x=0

x=0 0r x=-2

500

6x2-11x+4=0

x=1/2 0r x=4/3

equations by completing the square

100

x2+6x+5=0

x=-1 or x=-5

200

x2-8x+12=0

x=6 or x=2

300

2x2+8x-10=0

x=1 or x=-5

400

3x2-12x+9=0

x=3 or x=1

500

x2+5x+6=0

x=-2 or x=-3

equations using the quadratic formula.

100

x2+5x+6=0

x=-2 or  x=-3

200

2x2-7x+3=0

x=3 or x=1/2

300

x2+4x+2=0

x1=-2+2x sub 1 equals negative 2 plus the square root of 2 end-root

, 

400

x2+2x+5=0

x1=-1+2ix sub 1 equals negative 1 plus 2 i

, 

500

1/2x2+x-1=0

x1=-1+3x sub 1 equals negative 1 plus the square root of 3 end-root

, 

Graphing quadratic functions and parabolas

100

x2-5x+6=0

x=2 or x=3

200

2x2+7x+3=0

x=-3 or x=-1/2

300

x2-4x+4=0

x=2

400

x2+2x+5=0

no real roots

500

(x-1)2-4=0

x=-1 or x=3

Solving quadratic inequalities

100

x2-5x+6<0

2<x<3

200

2x2+5x-3>0

x<-3 or x>1/2

300

x2-4x+2>0

x<2-radical 2 or x>2+ radical 2

400

-x2+6x-5<0

x<1 or x>5

500

3x2+2x-8<0

-2<x<4/3