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Unformatted text preview: Lecture 5: Section A.5 Solving Equations Def. An equation in u1D465 is a statement that two algebraic expressions are equal. To solve an equation is to find all values of u1D465 for which the equation is true. Such values of u1D465 are solutions (or roots, zeros ) of the equation. NOTE: If an equation has no solution, the solution set is empty , written as . ex. Solve the equation u1D465 1 = 2 Linear Equations Def. A linear equation in one variable u1D465 is an equation of the form u1D44Eu1D465 + u1D44F = 0 where u1D44E and u1D44F are real numbers with u1D44E = 0. To solve a linear equation: 1. Remove all parenthesizes and simplify each side of the equation as much as possible. 2. Rewrite the equation by isolating the variable : variable terms on one side, numbers on the other. 3. Solve for the variable and check your solution. ex. Solve 6( u1D465 1) + 4 = 3(7 u1D465 + 1) NOTE: A linear equation has exactly one solution. Solve a linear equation with fractions, multiply both sides by LCD to clear the fraction. ex. u1D465 2 + 1 = 1 4 ( u1D465 6) To solve rational equations that leads to linear equations 1. Find the domain of the variable....
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This note was uploaded on 12/27/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.
 Summer '08
 GERMAN
 Calculus, Algebra, Equations

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