whenever you see a smiley, click on it! solving by taking the solving by squaring

LESSON 5.2SOLVING QUADRATIC

EQUATIONSWhenever you see a smiley,

click on it!

Solving by taking

the

Solving by

Squarin

g

SOLVING BY TAKING THE

REMEMBER!! When you solve a problem by taking the square root of both sides, you will always get

TWO ANSWERS!!!

EXAMPLE 1

982 2 x492 x7x

Try Another

EXAMPLE 23112 2 x

322 2 x162 x4x

Try Another

EXAMPLE 3

Try Another

108283 2 x36282 x

8x

SOLVING QUADRATIC EQUATIONS BY SQUARING When solving an equation by squaring both

sides, look for extraneous solutionsExample

53 x

2253 x

253 x28x

5328 525

55

CHECK

IT

Since this is a FALSE

statement, it is called anextraneous

solutionHere’s a

HINT!

If my constant is negative, there is

NO SOLUTION!

Keep clicking on the screen to see

the problem unfold. Click on

me!

Go to another example

EXAMPLE 4SOLVE FOR X.

73 x 22

73 x

493 x46x

7346 749 77 Try

Another!

EXAMPLE 5SOLVE FOR X.

1244 x

221244 x

14444 x1404 x

124)35(4

124140 12144

35x

1212

Try Another

!

EXAMPLE 6

61532 x

EXAMPLE 6-ANSWER

61532 x3153 x

223153 x

9153 x243 x

8x

What there’s more?

Solve each for x. Use the backside of your worksheet to show work and answers.

No credit will be given unless work is shown!

26 ]1 x 1246 ]2 x

x42 ]3 91 ]4 x

713 ]5 x 2917 ]6 2 x

91109 ]7 2 x 808 ]8 2 x

I’m ready for the answers

38 ]1

0 ]2

1 ]3

8 ]4

61 ]5

2- ,2 ]6

3- ,3 ]7

8.5- .5,8 ]8

Click me when you

finish!

?

?

?

?

?

?

?

?

5.8

72

808

2

2

x

x

x

Take me back to the answers!

I’m done now!

3

9

819

91109

2

2

2

x

x

x

x

Take me back to the answers!

I’m done now!

2

4

287

2917

2

2

2

x

x

x

x

Take me back to the answers!

I’m done now!

x

x

x

x

38

236

26

26 22

Take me back to the answers!

I’m done now!

0

44

24

6

12

6

46

1246

22

x

x

x

x

x

Take me back to the answers!

I’m done now!

x

x

x

x

14

4

4

4

42

4222

Take me back to the answers!

I’m done now!

x

x

x

x

8

91

91

91 22

Take me back to the answers!

I’m done now!

61

643

83

713

22

x

x

x

x

Take me back to the answers!

I’m done now!

CONGRATS!YOU’RE DONE!