solving radical equations
DESCRIPTION
Solving Radical Equations. A radical equation. is an equation. that contains a radical. Did you ever notice. how much sense. mathematical definitions. usually make?. The goal in solving. radical equations. is the same as the goal. in solving most equations. We need to isolate. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/1.jpg)
43 x
1573 x
281413 xx
![Page 2: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/2.jpg)
A radical equationis an equation
that contains a radical.
43 x
![Page 3: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/3.jpg)
Did you ever noticehow much sense
mathematical definitionsusually make?
![Page 4: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/4.jpg)
The goal in solvingradical equations
is the same as the goalin solving most equations.
43 x
![Page 5: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/5.jpg)
We need to isolatethe variable.
43 x
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43 x
But there is only one wayto move the variableout from under thesquare root sign.
![Page 7: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/7.jpg)
We need to square the
43 x
radical expression.
![Page 8: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/8.jpg)
And, because it is anequation,
what we do to one side,
43 x
![Page 9: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/9.jpg)
And, because it is an
24
equation,what we do to one side,
we have to do to the other.
23x
![Page 10: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/10.jpg)
And now, we need
24
to simplify:
23x 23x 3x
![Page 11: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/11.jpg)
Remember, nn 2
no matter what n is.
(Even if n is an expression)
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24 23x
3x
So we have:
16
![Page 13: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/13.jpg)
So we have:So we have:
163x33
19x
![Page 14: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/14.jpg)
Solve for x:283433 xx
Step 1. Simplify the expression:
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Solve for x:283433 xx
287 3x
![Page 16: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/16.jpg)
Solve for x:2837 x
Step 1. Simplify the expression.Step 2. Isolate the radical.
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Solve for x:2837 x
7 743 x
![Page 18: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/18.jpg)
Solve for x:43 x
Step 1. Simplify the expression.Step 2. Isolate the radical.Step 3. Square both sides.
![Page 19: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/19.jpg)
Solve for x:43 x
22 43 x163 x
![Page 20: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/20.jpg)
Solve for x:
Step 1. Simplify the expression.Step 2. Isolate the radical.Step 3. Square both sides.
163 x
Step 4. Solve the equation.
![Page 21: Solving Radical Equations](https://reader033.vdocuments.site/reader033/viewer/2022061519/56814d4f550346895dba8324/html5/thumbnails/21.jpg)
Solve for x:163 x
3313x
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Try this one:
181326 xSolve for x:
3132 x9132 x222 x11x
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15555552 xxSolve for x:
15553 x
2555 x205 x4x
555 x