whenever you see a smiley, click on it! solving by taking the solving by squaring
TRANSCRIPT
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LESSON 5.2SOLVING QUADRATIC
EQUATIONSWhenever you see a smiley,
click on it!
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Solving by taking
the
Solving by
Squarin
g
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SOLVING BY TAKING THE
REMEMBER!! When you solve a problem by taking the square root of both sides, you will always get
TWO ANSWERS!!!
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EXAMPLE 1
982 2 x492 x7x
Try Another
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EXAMPLE 23112 2 x
322 2 x162 x4x
Try Another
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EXAMPLE 3
Try Another
108283 2 x36282 x
8x
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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
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EXAMPLE 4SOLVE FOR X.
73 x 22
73 x
493 x46x
7346 749 77 Try
Another!
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EXAMPLE 5SOLVE FOR X.
1244 x
221244 x
14444 x1404 x
124)35(4
124140 12144
35x
1212
Try Another
!
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EXAMPLE 6
61532 x
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EXAMPLE 6-ANSWER
61532 x3153 x
223153 x
9153 x243 x
8x
What there’s more?
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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
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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!
?
?
?
?
?
?
?
?
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5.8
72
808
2
2
x
x
x
Take me back to the answers!
I’m done now!
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3
9
819
91109
2
2
2
x
x
x
x
Take me back to the answers!
I’m done now!
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2
4
287
2917
2
2
2
x
x
x
x
Take me back to the answers!
I’m done now!
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x
x
x
x
38
236
26
26 22
Take me back to the answers!
I’m done now!
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0
44
24
6
12
6
46
1246
22
x
x
x
x
x
Take me back to the answers!
I’m done now!
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x
x
x
x
14
4
4
4
42
4222
Take me back to the answers!
I’m done now!
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x
x
x
x
8
91
91
91 22
Take me back to the answers!
I’m done now!
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61
643
83
713
22
x
x
x
x
Take me back to the answers!
I’m done now!
![Page 22: Whenever you see a smiley, click on it! Solving by taking the Solving by Squaring](https://reader038.vdocuments.net/reader038/viewer/2022102900/551a436155034619378b5fc0/html5/thumbnails/22.jpg)
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CONGRATS!YOU’RE DONE!