1. 4.6 Rational Equations and Partial Fractions
Objectives: Solve rational equations and decompose a fraction into partial fractions.

2. How to solve rational equations:
Multiply both sides by the LCD.
Ex. 1)
Solve x _ =
x x – x² + 3x -4
Ex. 2)
Solve x = 0 x

3. Decompose 6x – 2 into partial fractions. x² - 3x - 10
The resistance of a wire depends on its temperature. The resistance R1 and R2 of a copper wire at temperature t1 and t2, respectively, are related by the equation:
R = R
t t2
R1 & R2 are measured in ohms and t1 & t2 are measured in °C. If the resistance of a wire is 50 ohms at 20°C, at what temperature will it have a resistance of 60 ohms?
one of the fractions that was added or subtracted to result in a given rational expression.
Partial fraction:
Ex.4)
Decompose 6x – into partial fractions.
x² - 3x - 10