MA 153
Lesson 14 Outline
Answering of homework questions over lesson 13.
Lesson 14
Section 2.5
Other Types of Equations
Absolute Value
Example:
(a)
4
x
=
(b)
4
1
3
x
+
−
=
9
Example:
3
x
=
Square both sides:
2
9
x
=
Solve for
x
:
3,
3
x
x
= −
=
is called an extraneous solution.
3
x
= −
When you square both sides of an equation, you must check your answer(s) for
extraneous solutions (extra solutions).
Example:
3
x
=
Cube both sides:
3
27
x
=
Solve for
x
:
3
x
=
When raising both sides of an equation to an odd power, there is no possibility for
extraneous solutions.

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