13-113-1Introduction to Quadratic Introduction to Quadratic

EquationsEquationsCA Standards 14.0 and 21.0CA Standards 14.0 and 21.0

Quadratic Equations in Standard Quadratic Equations in Standard FormForm

Standard Form of a Quadratic Equation

02 cbxaxor

cbxax 20

a is must be positive

#1 Standard Form

85 2 xx

Write in standard form and determine a, b, and c

88085 2 xx

abc

5

18

Solve the following equations

2.

3.

4.

5.

xx 72

xx 93 2

45 2 x

Write in standard form and determine a, b, and c

xxx 5218 2

#2 Standard Form

xx 72

Write in standard form and determine a, b, and c

x7x7072 xx

abc

170

#3 Standard Form

xx 93 2

Write in standard form and determine a, b, and c

2x2x390 2 xx

abc

19

3

3 3

#4 Standard Form

45 2 x

Write in standard form and determine a, b, and c

44045 2 x

abc

504

#5 Standard Form

xxx 5218 2

Write in standard form and determine a, b, and c

x2x21870 2 xx

abc

1718

18 18

#6 Quadratic Equations that Factor Solve.

0)34(5 xx

05 x 034 x34 x

4

3 ,0x

0x

01520 2 xx Standard Form

#7 Quadratic Equations that Factor Solve.

0)5)(2( xx

02 x 05 x5x

5 ,2x

2x

1072 xx01072 xx Standard Form10

-7-2 -5

#8 Quadratic Equations that Factor Solve.

0)7)(3( xx

03 x 07 x7x

7 ,3x

3x

298842 xxx02142 xx Standard Form-21

-43 -7

Solve the following equations

9.

10.

11.

0610 2 xx

1582 xx

2512 2 xx

#9 Quadratic Equations that Factor Solve.

0)35(2 xx

02 x 035 x35 x

5

3 ,0 x

0x

0610 2 xx Standard Form

#10 Quadratic Equations that Factor Solve.

0)3)(5( xx

05 x 03 x3x

3 ,5x

5x

01582 xx Standard Form15

-8-5 -3

1582 xx

#11 Quadratic Equations that Factor Solve.

0)14)(23( xx

023 x 014 x14 x

4

1 ,

3

2x

23 x

2512 2 xx02512 2 xx-24

-5-8 3

23812 2 xxx

23812 2 xxx

231234 xxx

1423 xx