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https://math.libretexts.org › Courses › Monroe_Community_College › MTH_165_College_Algebra...
1.3: Rational Equations - Mathematics LibreTextsLearn how to solve rational equations by clearing fractions, finding restrictions, and checking solutions. See examples of rational expressions, proportions, and quadratic equations with steps and solutions.
Solve: 1 x + 1 3 = 5 6. Solution. Step 1. Note any value of the variable that would make any denominator zero. If x = 0, then 1 x is undefined. So we'll write x ≠ 0 next to the equation. 1 x + 1 3 = 5 6, x ≠ 0. Step 2. Find the least common denominator of all denominators in the equation.
Begin solving rational equations by multiplying both sides by the LCD. The resulting equivalent equation can be solved using the techniques learned up to this point. Multiplying both sides of a rational equation by a variable expression introduces the possibility of extraneous solutions. Therefore, we must check the solutions against the set of ...
https://query.libretexts.org › Francais › Algèbre_intermédiaire_(OpenStax) › 07...
7.5 : Résolution d'équations rationnelles - GlobalRésoudre des équations. Utiliser des fonctions rationnelles. Résolvez une équation rationnelle pour une variable spécifique.
https://www.chilimath.com › lessons › advanced-algebra › solving-rational-equations
Solving Rational Equations - ChiliMathLearn how to use the least common denominator (LCD) to eliminate the denominators in rational equations and reduce them to linear or quadratic equations. See 10 worked examples with different levels of difficulty and explanations.
https://math.libretexts.org › Bookshelves › Algebra › Intermediate_Algebra_1e_(OpenStax) › 07...
7.5: Solve Rational Equations - Mathematics LibreTextsSolve: 1 x + 1 3 = 5 6. Solution. Step 1. Note any value of the variable that would make any denominator zero. If x = 0, then 1 x is undefined. So we'll write x ≠ 0 next to the equation. 1 x + 1 3 = 5 6, x ≠ 0. Step 2. Find the least common denominator of all denominators in the equation.
https://matterofmath.com › algebra › solving-rational-equations
Solving Rational Equations · Examples - Matter of MathLearn and practice solving rational equations, which are equations involving fractions or rational numbers. Follow the four steps: eliminate denominators, simplify, solve and check solutions.
https://brilliant.org › wiki › rational-equations
Rational Equations | Brilliant Math & Science WikiLearn how to solve rational equations with fractions, polynomials, and quadratic expressions. See examples, methods, and tips for basic, intermediate, and advanced rational equations.
https://openstax.org › books › intermediate-algebra-2e › pages › 7-4-solve-rational-equations
7.4 Solve Rational Equations - Intermediate Algebra 2e - OpenStaxA rational equation is an equation that contains a rational expression. You must make sure to know the difference between rational expressions and rational equations. The equation contains an equal sign.
https://math.libretexts.org › Bookshelves › Algebra › Elementary_Algebra_(LibreTexts) › 07...
7.5: Solving Rational Equations - Mathematics LibreTextsBegin solving rational equations by multiplying both sides by the LCD. The resulting equivalent equation can be solved using the techniques learned up to this point. Multiplying both sides of a rational equation by a variable expression introduces the possibility of extraneous solutions. Therefore, we must check the solutions against the set of ...
https://www.symbolab.com › study-guides › coreq-collegealgebra › rational-equations.html
Study Guide - Rational Equations - SymbolabEquations that contain rational expressions are called rational equations. For example, [latex]\displaystyle \frac {2x+1} {4}=\frac {7} {x} [/latex] is a rational equation. Rational equations can be useful for representing real-life situations and for finding answers to real problems.
https://fr.symbolab.com › practice › rational-equations-practice
Equations rationnelles Entraînement - SymbolabS'exercer Equations rationnelles, obtenir des indices utiles, compléter un questionnaire, améliorer vos connaissances mathématiques.
