Rational equation word problem
What are the examples of rational equation?
| Example | |
|---|---|
| Solve | |
| Multiply both sides of the equation by the common denominator. | |
| 7x – 14 + 5x + 10 =10x – 2 12x – 4 =10x – 2 | Simplify |
| 12x – 10x – 4 = 10x – 10x – 2 2x – 4 = -2 2x – 4 + 4 = -2 + 4 2x = 2 x = 1 | Solve for x Check to be sure that the solution is not an excluded value. (It is not.) |
How do you write a rational equation?
The steps to solving a rational equation are:Find the common denominator.Multiply everything by the common denominator.Simplify.Check the answer(s) to make sure there isn’t an extraneous solution.
What is rational expressions and equations?
A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions.
When can we use rational functions to solve a problem?
Rational expressions can help you solve problems about combining two peoples’ rates to finish a project. To solve them, think of the rate in terms of fractions of the full project, then write an expression and work through it!.
How do you find the LCD of a rational equation?
To solve a rational equation with the LCD, you find a common denominator, write each fraction with that common denominator, and then multiply each side of the equation by that same denominator to get a nice quadratic equation.
What is the first step in solving a rational equation?
Step 1: Eliminate all fractions. In this case, we can either multiply by the LCD or cross multiply to eliminate the fractions. Step 2: Simplify the resulting equation. To simplify the equation you may need to distribute and combine like terms.
How do you simplify rational equations?
Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator. Step 1: Factor both the numerator and denominator of the fraction.
What are the solutions to the equation?
An equation is an algebraic expression which typically relates unknown variables to other variables or constants. For example, x + 2 = 15 is an equation, as is y2 = 4. The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.