Download Solving Rational Equations Notes

Algebra II/Trig Honors
Unit 5 Day 6: Solve Rational Equations
Objective: To solve rational equations
Solving by Cross Multiplying
 You can use cross multiplying to solve a rational equation when ____________________
________________________________________________________________________
Example 1: Solve a rational equation by cross multiplying
Solve.
a.
3
9

x  1 4x  5
b.
1
x

2 x  5 11x  8
Solving using LCDs
 When the rational expression is not a proportion, you can solve it by _______________
_______________________________________________________________________
Example 2: Solve a rational equation using LCD
Solve.
a.
5 7
9
 
x 4
x
b. 1 
8
3

x5 x
Extraneous Solutions
 Extraneous solutions can be obtained in rational equations. Be sure to ______________
_______________________________________________________________________
Example 3: Check for extraneous solutions
Solve.
a.
6
8x 2
4x
 2

x3 x 9 x3
HW: Page 349 #3-27 (M3), 28
b.
5x
10
7
x2
x2