# What are extraneous examples?

## What are extraneous examples?

The definition of extraneous is irrelevant, not essential or coming from the outside. An example of extraneous is information in a research paper that is in no way related to the topic. An example of extraneous are issues that have nothing to do with the main subject. Unrelated to the topic or matter at hand.

## What are extraneous solutions?

Extraneous solutions are values that we get when solving equations that aren’t really solutions to the equation. In this video, we explain how and why we get extraneous solutions, by understanding the logic behind the process of solving equations.

How do you know if a solution is extraneous?

Answer and Explanation: To determine if a solution is extraneous, we simply plug the solution into the original equation.

### What are extraneous solutions in rational equations?

An algebraic solution to a rational equation that would cause any of the rational expressions to be undefined is called an extraneous solution. 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.

### Where do extraneous solutions come from?

​Extraneous Solutions occur because squaring both sides of a square root equation results in 2 solutions (the positive and negative number). Therefore, one of those numbers will be an extraneous solution, or an extra solution which does not fulfill the original equation.

Is undefined an extraneous solution?

When there are variables in the denominator, there is the possibility of ending up with extraneous solutions. For the equation , x = 0 would be an extraneous solution because division by zero is undefined and one of the denominators would become zero. For the equation , x = -1 and x = 0 would be extraneous solutions.

## Why is an extraneous solution?

What are extraneous solutions in radical equations?

When you square a radical equation you sometimes get a solution to the squared equation that is not a solution to the original equation. Such an equation is called an extraneous solution.

### What are extraneous roots?

more A solution to an equation that SEEMS to be right, but when we check it (by substituting it into the original equation) we find it is NOT right. Example: you work on an equation and come up with two roots (where it equals zero) “a” and “b”.

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