• How do I solve quadratic equations?

Notes Over Solving QuadraticsMethods of Solving Quadratics

Square Root Method: 02 cbxax

No bx term

04925 .1 2 x494949225x2525

2x25

49 x25

49

5

7

Notes Over Solving QuadraticsMethods of Solving Quadratics

Square Root Method: 02 cbxax

No bx term

01219 .2 2 x12112112129x99

2x9

121 x9

121

3

11

Notes Over Solving QuadraticsMethods of Solving Quadratics

Square Root Method: 02 cbxax

No bx term

04872 .3 2 x4848

48227x2727

2x9

16 x9

16

3

4

Notes Over Solving QuadraticsMethods of Solving Quadratics

Square Root Method: 02 cbxax

No bx term

014461 .4 2 x144144144216x1616

2x16

144 x16

144

4

12

3

Notes Over Solving QuadraticsMethods of Solving Quadratics

Square Root Method: 02 cbxax

No bx term

1002832 .5 2 x2828

128 232 x22

23x 64 3x 8

x33

83

11x5x

Notes Over Solving QuadraticsMethods of Solving Quadratics

Square Root Method: 02 cbxax

No bx term

981743 .6 2 x171781 243 x

33 24x 27

4x 27

x44

334 i

33i

Notes Over Solving QuadraticsMethods of Solving Quadratics

Factoring Method: 02 cbxax

No c term or any that will factor

Binomial Trinomial 4 or more termsGCF GCF GCF

Difference of Squares

Perfect Square Trinomial

Two Binomials (Shortcut)

Two Binomials (a is not 1)

Grouping

Methods of Factoring

Notes Over Solving QuadraticsMethods of Solving Quadratics

Completing the Square Method: 02 cbxax

a = 1 and b is even 01512 .7 2 xx

1515____15____122 xx

26x 51

x 516

36 36

6x 51

Notes Over Solving QuadraticsMethods of Solving Quadratics

Completing the Square Method: 02 cbxax

a = 1 and b is even 01120 .8 2 xx1111

____11____202 xx 210x 111

x 11110

100 100

10x 111

Notes Over Solving QuadraticsMethods of Solving Quadratics

Completing the Square Method: 02 cbxax

a = 1 and b is even 058 .9 2 xx55

____5____82 xx 24x 11

x 114

16 16

4x 11

Notes Over Solving QuadraticsMethods of Solving Quadratics

Completing the Square Method: 02 cbxax

a = 1 and b is even 03518 .10 2 xx3535

____35____182 xx 29x 46

x 469

81 81

9x 46

Notes Over Solving QuadraticsMethods of Solving Quadratics

Completing the Square Method: 02 cbxax

a = 1 and b is even 094 .11 2 xx99

____9____42 xx 22x 5

x 52 i

4 4

2x 5

Notes Over Solving QuadraticsMethods of Solving Quadratics

Completing the Square Method: 02 cbxax

a = 1 and b is even 034122 .12 2 xx

1717____17____62 xx

23x 8

x 223 i

9 9

3x 8

01762 xx

Notes Over Solving Quadratics

Solving Quadratic Worksheet