4.6 Rational Equations and Partial Fractions

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Presentation transcript:

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

How to solve rational equations: Multiply both sides by the LCD. Ex. 1) Solve x _ 2 = 2 . x + 4 x – 1 x² + 3x -4 Ex. 2) Solve 15 + x - 8 = 0 x

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: R1 = R2 . 234.5 + t1 234.5 + 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 – 2 into partial fractions. x² - 3x - 10