MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C923D6.D4361F20" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C923D6.D4361F20 Content-Location: file:///C:/5F741E43/M117Lesson10.6doc.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Lesson 9

Lesson 10.6(F’08= )

 

Objective:  To use the power rule to solve rad= ical

  equations.

 

Radical equation-An equation that cont= ains at least one

        =    radical with variables in the radicand.

 

Power Rule

Let a and b be real numbers and n be a positive integer.

If a =3D b, then an =3D bn

 

Solve:

 

1.   =3D 5

 

 

 

 

2.   =3D -3

 

 

 

 

 

 

3.   =3D 4   Be sure to check for extr= aneous roots.

 

 

 

 

4.   =3D -2   Be sure to check for extr= aneous roots.

 

 

 

 

 

5.  

 

 

 

 

 

 

 

6.  =3D x - 2

 

 

 

 

 

 

 

If the radical in a radical equation is not isolated, we must first isolate the radical term.

 

1.  + 5  =3D 0

 

 

 

 

 

2.   + 6 =3D a

 

 

 

 

 

 

 

 

 

A general strategy for solving equations with two radicals.=

1.      Isolate one of the rad= ical terms.

2.      Use the power rule.

3.      If a radical remains, = repeat steps one and two.

4.      Check possible solutio= ns in the ORIGINAL equation.

 

 

3.    Solve            &= nbsp;

 

 

 

 

 

 

 

 

 

 

 

 

 

4.   Solve the formula for D:  S =3D

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

CW-Worksheet 10.6

Homework Math XL Section  10.6

 

DUE BY________________________

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