 # How To Solve Rational Equations With Extraneous Solutions

How To Solve Rational Equations With Extraneous Solutions. A rational equation an equation containing at least one rational expression. While solving equations, we simplify them using transformations (like multiplying with the least common denominator or substitution).

In this video, we explain how and why we get extraneous solutions, by understanding the logic behind the process of solving equations. Is an equation containing at least one rational expression. 5.6 rational equations now that we have a good handle on all of the various operations on rational expressions, we want to turn our attention to solving equations that contain rational expressions.

### Many Formulas Used In Business, Science, Economics, And Other Fields Use Rational Equations To Model The Relation Between Two Or More Variables.

While solving equations, we simplify them using transformations (like multiplying with the least common denominator or substitution). 1) 1 6 k2 = 1 3k2 − 1 k 2) 1 n2 + 1 n = 1 2n2 3) 1 6b2 + 1 6b = 1 b2 4) b + 6 4b2 + 3 2b2 = b + 4 2b2 5) 1 x = 6 5x + 1 6) 1 6×2 = 1 2x + 7 6×2 7) 1 v + 3v + 12 v2 − 5v = 7v − 56 v2 − 5v 8) 1 m2 − m + 1 m = 5 m2 − m 9) 1 n − 8 − 1 = 7 n − 8 10) 1 r − 2 + 1 r2 −. Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.

### Remember To Check For Extraneous Solutions.

For rational functions, extraneous solutions come from the excluded values of the variable. We made it much easier for you to find exactly what you're looking for on sciemce. Level 1 level 2 level 3 1] 5] 9] 2] 6] 10] 3] 7] 11] 4] 8] 12]

### Solve The Resulting Polynomial Equation, And Check For Extraneous Solutions.

How to solve rational equations step by step ideas.tap to take a pic of the problem. These are called extraneous solutions. Recall that you can solve equations containing fractions by using the least common denominator of all the fractions in the equation.

### Remember To Check For Extraneous Solutions.

A rational equation an equation containing at least one rational expression. Rational equations are used to solve certain work rate and distance word problems. Solving rational equations date_____ period____ solve each equation.

### This Method Can Also Be Used With Rational Equations.

The final answer is x = 2 after checking it back into the original rational equation. #x+2=9# and #x=7#, have exactly the same set of. Remember to check for extraneous solutions.