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How do I solve quadratic equations?
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How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

Dec 17, 2015

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Ursula Cain
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Page 1: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

• How do I solve quadratic equations?

Page 2: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 3: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 4: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 5: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 6: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 7: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 8: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 9: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 10: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 11: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 12: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 13: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 14: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

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

Page 15: How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

Notes Over Solving Quadratics

Solving Quadratic Worksheet