Download 7.6 - Solving Radical Equations.notebook

7.6 ­ Solving Radical Equations.notebook
March 08, 2012
7.6 ­ SOLVING RADICAL EQUATIONS (cont.)
TWO RADICAL EXPRESSIONS
To solve an equation with two radical expressions, rewrite
the equation so that each side has one radical.
EXAMPLE:
Solve for x:
EXTRANEOUS SOLUTIONS
• If you square both sides of , you get x = .
But, x = 1 is not a valid solution.
• This is an example of an "extraneous" solution. These
often occur when solving these types of problems.
You need to check each solution!
EXAMPLES:
Solve for x:
.
Mar 6­2:20 PM
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7.6 ­ Solving Radical Equations.notebook
March 08, 2012
"REAL­LIFE EXAMPLE"
The Beaufort wind scale was devised to measure wind speed.
The Beaufort numbers B, which range from 0 to 12, can be
modeled by:
where s is the speed (in miles per hour) of the wind. Find the
wind speed that corresponds to the Beaufort number B = 11.
HOMEWORK: p.442 #48,51,52,54,63,67
Mar 6­2:29 PM
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