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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!
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?
?
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?
?
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!
