A29­6Notes.notebook
November 13, 2015
Algebra 2
Ch.9 Notes Page 54
P54 9­6 Solving Rational Equations
Aug 19­6:20 AM
Solving Rational Equations
Extraneous Solutions might be included.
Check all solutions to make sure they work in the original equation.
5 = 15 2x ­ 2 x2 ­ 1
Cross Multiply
Solve
Feb 16­2:57 PM
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A29­6Notes.notebook
November 13, 2015
Solving Rational Equations
1 ­ 2 = 1 2x 5x 2
Mult. by Least Common Multiple
(2,5,x) = 10x
(10x) 1 ­ 2 = (10x) 1 2x 5x 2
Simplify
10x ­ 20x = 10x
2x 5x 2
Solve
5 ­ 4 = 5x
Answer
1/5 = x
Feb 16­2:57 PM
Solving Rational Equations
4 ­ 3 = 1 x x+1 May 18­9:03 AM
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A29­6Notes.notebook
November 13, 2015
Example
The aerodynamic covering on this bicycle increases a cyclist's average speed by 10 mph. The time for a 75mi trip is reduced by 2hr. What is the average speed for the trip using a aerodynamic covering?
Mult. by Least Common Multiple
(t,t­2)
75 = 75 + 10
t ­ 2 t
Feb 16­2:57 PM
HW #57
9­6 WS
Please put your name and class period at the top of
the homework. Also include the homework number.
Aug 19­6:25 AM
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