Solving Rational Equations - GitHub Pages.
Sal solves a word problem about the combined pool-filling rates of two water hoses, by creating a rational equation that models the situation. The equation has a solution that is eliminated due to the context. Sal solves a word problem about the combined pool-filling rates of two water hoses, by creating a rational equation that models the situation. The equation has a solution that is.
An algebraic solution to a rational equation that would cause any of the rational expressions to be undefined is called an extraneous solution. Extraneous Solution to a Rational Equation An extraneous solution to a rational equation is an algebraic solution that would cause any of the expressions in the original equation to be undefined.
Solving Rational Equations. A rational equation is a type of equation where it involves at least one rational expression, a fancy name for a fraction. The best approach to address this type of equation is to eliminate all the denominators using the idea of LCD (least common denominator). By doing so, the leftover equation to deal with is usually either linear or quadratic. In this lesson, I.
Solving rational equations follows the same rules as solving any other type of equation. Whatever you do to one side of the equation, you must do to the other. If you have fractions, you try to eliminate them by multiplying by the common denominator. If there are quadratics involved, you must get all terms to one side with zero on the other. If you need practice solving linear equations (link.
Multiply both sides of the equation by the least common denominator (LCD). Solve the resulting equation. Eliminate any solutions that would make the LCD become zero. These solutions are called extraneous solutions. Check the remaining solutions. Example 1. Solve. Factor all denominators. Multiply both sides by LCD. Solve equation.
Problem solving - use your acquired knowledge to solve rational equation practice problems Additional Learning Get even more information and practice with these equations via the associated lesson.
A rational equation is a complete mathematical (algebraic) sentence. If a rational equation contains a variable, the equation is solved for that variable. EXAMPLE: EXPRESSION EQUATION EXPRESSIONS, YOU SIMPLIFY. EQUATIONS, YOU SOLVE. SOLVING A RATIONAL EQUATION To solve a rational equation involves one main concept. The rest of the process is solving basic equations. Remember, one of the.