1 Put y = 1199092 minus 6119909 + 10 in vertex form

2 Put 21199092 + 4119909 minus 5 = 119910 in vertex form

3 Put 3(119909 minus 2)2 + 4 = 119910 in standard form

War

m U

p Thursday February 19 2015

Hint Use ℎ =minus119887

2119886or your calculator

Page 7 in your study guide

Objectives

Homework

Solve equations containing radical expressions

Packet Page 15 2 3 6 8 and 9Packet Page 16 11-21 odd

War

m U

p

Recognize when extraneous solutions may arise when solving radical equations and check solutions to determine which solutions may be extraneous

1st block 915 ndash 10172nd block 1023 ndash 1125

A lunch 3rd block class 1156 -100A lunch 1125 ndash 1150

B lunch 3rd block class 1131 ndash 1200 1231 ndash 100B lunch 1200 ndash 1225

C lunch 3rd block class 1131 ndash 1235C lunch 1235 ndash 100

4th block 106 ndash 215

Schedule todayhellip

No Enrichment

The progress report you have is for your eyes only You will receive a new report next week that will need to be signed

Look at what assignments are missing You can still turn things in Any grade is better than a ZERO

CASTLE LEARNING ASSIGNMENTS

go to wwwcastlelearningcom

Logon ID is cms-student id

For example if your user id is 48309203 your user id is cms-48309203

You donrsquot need a password the first time you log in Yoursquoll be prompted to create one

GET OUT YOUR PHONES

Objectives

Homework

Solve equations containing radical expressions

Packet Page 15 2 3 6 8 and 9Packet Page 16 11-21 odd

War

m U

p

Recognize when extraneous solutions may arise when solving radical equations and check solutions to determine which solutions may be extraneous

1st block 915 ndash 10172nd block 1023 ndash 1125

A lunch 3rd block class 1156 -100A lunch 1125 ndash 1150

B lunch 3rd block class 1131 ndash 1200 1231 ndash 100B lunch 1200 ndash 1225

C lunch 3rd block class 1131 ndash 1235C lunch 1235 ndash 100

4th block 106 ndash 215

Schedule todayhellip

No Enrichment

The progress report you have is for your eyes only You will receive a new report next week that will need to be signed

Look at what assignments are missing You can still turn things in Any grade is better than a ZERO

CASTLE LEARNING ASSIGNMENTS

go to wwwcastlelearningcom

Logon ID is cms-student id

For example if your user id is 48309203 your user id is cms-48309203

You donrsquot need a password the first time you log in Yoursquoll be prompted to create one

GET OUT YOUR PHONES

1st block 915 ndash 10172nd block 1023 ndash 1125

A lunch 3rd block class 1156 -100A lunch 1125 ndash 1150

B lunch 3rd block class 1131 ndash 1200 1231 ndash 100B lunch 1200 ndash 1225

C lunch 3rd block class 1131 ndash 1235C lunch 1235 ndash 100

4th block 106 ndash 215

Schedule todayhellip

No Enrichment

The progress report you have is for your eyes only You will receive a new report next week that will need to be signed

Look at what assignments are missing You can still turn things in Any grade is better than a ZERO

CASTLE LEARNING ASSIGNMENTS

go to wwwcastlelearningcom

Logon ID is cms-student id

For example if your user id is 48309203 your user id is cms-48309203

You donrsquot need a password the first time you log in Yoursquoll be prompted to create one

GET OUT YOUR PHONES

The progress report you have is for your eyes only You will receive a new report next week that will need to be signed

Look at what assignments are missing You can still turn things in Any grade is better than a ZERO

CASTLE LEARNING ASSIGNMENTS

go to wwwcastlelearningcom

Logon ID is cms-student id

For example if your user id is 48309203 your user id is cms-48309203

You donrsquot need a password the first time you log in Yoursquoll be prompted to create one

GET OUT YOUR PHONES

CASTLE LEARNING ASSIGNMENTS

go to wwwcastlelearningcom

Logon ID is cms-student id

For example if your user id is 48309203 your user id is cms-48309203

You donrsquot need a password the first time you log in Yoursquoll be prompted to create one

GET OUT YOUR PHONES

Ho

mew

ork

Rev

iew

What is a Radical Equation

An equation that has a variable in a radicand or a variable with a rational exponent

3 + 2119909 minus 3 = 8

Solv

ing

Rad

ical

Eq

uat

ion

s

Three basic stephellip

3 + 2119909 minus 3 = 8 1 Isolate the radical expression

2119909 minus 3 = 5

( 2119909 minus 3)2= 52

2119909 minus 3 = 25

minus3 minus3

+3+3

2119909 = 28

2119909

2=28

2119909 = 14

2 Square both sides

3 Solve for x

Solv

ing

Rad

ical

Eq

uat

ion

s

Solv

ing

Rad

ical

Eq

uat

ion

sDo problems 3 and 9 on Packet Page 15

3) 9)

It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations

What is a Radical Equation

An equation that has a variable in a radicand or a variable with a rational exponent

3 + 2119909 minus 3 = 8

Solv

ing

Rad

ical

Eq

uat

ion

s

Three basic stephellip

3 + 2119909 minus 3 = 8 1 Isolate the radical expression

2119909 minus 3 = 5

( 2119909 minus 3)2= 52

2119909 minus 3 = 25

minus3 minus3

+3+3

2119909 = 28

2119909

2=28

2119909 = 14

2 Square both sides

3 Solve for x

Solv

ing

Rad

ical

Eq

uat

ion

s

Solv

ing

Rad

ical

Eq

uat

ion

sDo problems 3 and 9 on Packet Page 15

3) 9)

It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations

Three basic stephellip

3 + 2119909 minus 3 = 8 1 Isolate the radical expression

2119909 minus 3 = 5

( 2119909 minus 3)2= 52

2119909 minus 3 = 25

minus3 minus3

+3+3

2119909 = 28

2119909

2=28

2119909 = 14

2 Square both sides

3 Solve for x

Solv

ing

Rad

ical

Eq

uat

ion

s

Solv

ing

Rad

ical

Eq

uat

ion

sDo problems 3 and 9 on Packet Page 15

3) 9)

It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations

Solv

ing

Rad

ical

Eq

uat

ion

sDo problems 3 and 9 on Packet Page 15

3) 9)

It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations

It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations

So what do we mean by extraneous solutionshellip

Solv

ing

Rad

ical

Eq

uat

ion

s

Solv

ing

Rad

ical

Eq

uat

ion

s

To check our answers we substitute them back into the original equation and see if they produce a true statement

Solv

ing

Rad

ical

Eq

uat

ion

s

Solv

ing

Rad

ical

Eq

uat

ion

sDo problems 11 and 15 on Packet Page 16

11) 15)

Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation

When checking your solutions use the original when substituting values

Remember

What if

you have

more than

one

radical in

the

equation

Check your

answershellip

What if you have to solve an equation like the following

119909 + 6119894 2 + 119894 = 14 + 22119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Solve each part for x

Set Corresponding Parts Equal

Now you try Solve for x

3 + 2119894 1 minus 119909119894 = 9 minus 7119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Set Corresponding Parts Equal

Solve each part for x

Work on your homework

Solv

ing

Rad

ical

Eq

uat

ion

s

Solv

ing

Rad

ical

Eq

uat

ion

s

To check our answers we substitute them back into the original equation and see if they produce a true statement

Solv

ing

Rad

ical

Eq

uat

ion

s

Solv

ing

Rad

ical

Eq

uat

ion

sDo problems 11 and 15 on Packet Page 16

11) 15)

Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation

When checking your solutions use the original when substituting values

Remember

What if

you have

more than

one

radical in

the

equation

Check your

answershellip

What if you have to solve an equation like the following

119909 + 6119894 2 + 119894 = 14 + 22119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Solve each part for x

Set Corresponding Parts Equal

Now you try Solve for x

3 + 2119894 1 minus 119909119894 = 9 minus 7119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Set Corresponding Parts Equal

Solve each part for x

Work on your homework

Solv

ing

Rad

ical

Eq

uat

ion

s

To check our answers we substitute them back into the original equation and see if they produce a true statement

Solv

ing

Rad

ical

Eq

uat

ion

s

Solv

ing

Rad

ical

Eq

uat

ion

sDo problems 11 and 15 on Packet Page 16

11) 15)

Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation

When checking your solutions use the original when substituting values

Remember

What if

you have

more than

one

radical in

the

equation

Check your

answershellip

What if you have to solve an equation like the following

119909 + 6119894 2 + 119894 = 14 + 22119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Solve each part for x

Set Corresponding Parts Equal

Now you try Solve for x

3 + 2119894 1 minus 119909119894 = 9 minus 7119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Set Corresponding Parts Equal

Solve each part for x

Work on your homework

Solv

ing

Rad

ical

Eq

uat

ion

s

Solv

ing

Rad

ical

Eq

uat

ion

sDo problems 11 and 15 on Packet Page 16

11) 15)

Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation

When checking your solutions use the original when substituting values

Remember

What if

you have

more than

one

radical in

the

equation

Check your

answershellip

What if you have to solve an equation like the following

119909 + 6119894 2 + 119894 = 14 + 22119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Solve each part for x

Set Corresponding Parts Equal

Now you try Solve for x

3 + 2119894 1 minus 119909119894 = 9 minus 7119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Set Corresponding Parts Equal

Solve each part for x

Work on your homework

Solv

ing

Rad

ical

Eq

uat

ion

s

Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation

When checking your solutions use the original when substituting values

Remember

What if

you have

more than

one

radical in

the

equation

Check your

answershellip

What if you have to solve an equation like the following

119909 + 6119894 2 + 119894 = 14 + 22119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Solve each part for x

Set Corresponding Parts Equal

Now you try Solve for x

3 + 2119894 1 minus 119909119894 = 9 minus 7119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Set Corresponding Parts Equal

Solve each part for x

Work on your homework

Solv

ing

Rad

ical

Eq

uat

ion

s

What if

you have

more than

one

radical in

the

equation

Check your

answershellip

What if you have to solve an equation like the following

119909 + 6119894 2 + 119894 = 14 + 22119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Solve each part for x

Set Corresponding Parts Equal

Now you try Solve for x

3 + 2119894 1 minus 119909119894 = 9 minus 7119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Set Corresponding Parts Equal

Solve each part for x

Work on your homework

Solv

ing

Rad

ical

Eq

uat

ion

s

Check your

answershellip

What if you have to solve an equation like the following

119909 + 6119894 2 + 119894 = 14 + 22119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Solve each part for x

Set Corresponding Parts Equal

Now you try Solve for x

3 + 2119894 1 minus 119909119894 = 9 minus 7119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Set Corresponding Parts Equal

Solve each part for x

Work on your homework

Solv

ing

Rad

ical

Eq

uat

ion

s

What if you have to solve an equation like the following

119909 + 6119894 2 + 119894 = 14 + 22119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Solve each part for x

Set Corresponding Parts Equal

Now you try Solve for x

3 + 2119894 1 minus 119909119894 = 9 minus 7119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Set Corresponding Parts Equal

Solve each part for x

Work on your homework

Solv

ing

Rad

ical

Eq

uat

ion

s

Now you try Solve for x

3 + 2119894 1 minus 119909119894 = 9 minus 7119894

Simplify (use i2=-1)

Expand the left side (FOIL)

Group real and imaginary terms

Set Corresponding Parts Equal

Solve each part for x

Work on your homework

Solv

ing

Rad

ical

Eq

uat

ion

s

Work on your homework

Solv

ing

Rad

ical

Eq

uat

ion

s