# D2notes - Supplementary Course Module D Solving Equations and Inequalities Assignment 2 Equations Containing Rational Root or Absolute Value

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Solving Equations Containing Rational Expressions The general method used involves multiplying both sides of the equation by the lowest common denominator, stating any necessary restrictions. This will eliminate the rational expressions from the equation. examples: x 4 ± 3 x ± 5 2 = 1 3 ! lcd = 12 12 ² x 4 ± 3 x ± 5 2 ± = 12 ² 1 3 ± 3 ( x ) ± 6 (3 x ± 5) = 4 (1) x = 26 15 2 x ± 2 ± 3 x + 1 = 0 ! lcd = ( x ± 2) ( x + 1) ( x ± 2) ( x + 1) ² 2 x ± 2 ± 3 x + 1 ± = ( x ± 2) ( x + 1) ² 0 , x 6 = ± 1 ; 2 ( x + 1) (2) ± ( x ± 2) (3) = 0 x = 8 x ± 1 x + 2 = x ± 3 x + 1 + 2 x ( x + 2) ( x + 1) ( x + 1) ( x ± 1) = ( x + 2) ( x ± 3) + (1) (2 x ) , x 6 = ± 2 ; ± 1 x 2 ± 1 = x 2 ± x ± 6 + 2 x 5 = x 1 x + 1 x ± 3 = x ± 2 x ± 3 ( x ± 3) (1) + ( x ) (1) = ( x ) ( x ± 2) , x 6 = 0 ; 3 x 2 ± 4 x + 3 = 0 ( x ± 3) ( x

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## This note was uploaded on 11/25/2010 for the course MATH MA110 taught by Professor Hu during the Fall '10 term at Wilfred Laurier University .

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D2notes - Supplementary Course Module D Solving Equations and Inequalities Assignment 2 Equations Containing Rational Root or Absolute Value

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