Top 10 WHAT IS AN EXTRANEOUS SOLUTION? Answers

# What Is An Extraneous Solution?

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## 1. Identify Extraneous Solutions to Radical Equations – Expii

Summary. An extraneous solution is a solution that does not work. When working with radicals you might end up with multiple “solutions” due to squaring.(1)

A solution of a simplified version of an equation that does not satisfy the original equation. Watch out for extraneous solutions when solving equations with a (2)

In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges from the process of solving the problem but (3)

## 2. What is extraneous solution? + Example – Socratic

Nov 9, 2016 — See explanation If you are given a problem A to solve, you may convert it by a set of steps into a problem B which is easier to solve. Some of 1 answer  ·  See explanation

Explanation:

If you are given a problem A to solve, you may convert it by a set of steps into a problem B which is easier to solve. (4)

A solution to an equation that SEEMS to be right, but when we check it (by substituting it into the original equation) turns out NOT to be right. Example: you work (5)

Extraneous Solutions: In mathematics, there are certain types of equations, such as radical equations and absolute value equations, that when solved, will (6)

Such an equation is called an extraneous solution. Remember to always check your solutions in the original equation to discard the extraneous solutions.(7)

3:43In this video I will show you how to solve a rational equation when the denominators are not the same May 18, 2020 · Uploaded by Brian McLogan(8)

## 4. Extraneous solutions – Math Central

Extraneous solutions are not solutions at all. They arise from outside the problem, from the method of solution. They are extraneous because they are not solutions​ (9)

Feb 19, 2018 — In case you are not familiar with the concept, an extraneous solution (also called an extraneous root) is a solution you get in the process of solving (10)

Solving this equation leads (initially) to two solutions. In the first step both sides of the equation are squared. extraneous solution. Note that both x=1 and x=-2 are (11)

extraneous solution. (noun). An answer to an equation that emerges from the process of solving the problem but that is not a valid answer to the original problem (12)

Jul 2, 2019 — Extraneous solutions are created be using certain methods to solve the problem. They are not, never were, or never will be solutions. They are 2 answers  ·  Top answer: Extraneous solutions appear to be valid solutions, but when checked back into the original (13)

## 5. An Extraneous Solution – Illustrative Mathematics

The goal of this task is to examine how extraneous solutions can arise when solving rational equations. The task presents an operation, “clearing denominators,” (14)

The reason extraneous solutions exist is because some operations produce ‘​extra’ answers, and sometimes, these operations are a part of the path to solving the 4 answers  ·  9 votes: One reason extraneous solutions exist is because some functions are not injective. In particular, (15)

Extraneous solutions. Suppose that x is the variable to be solved for in some equation. If we increase the degree of x in the equation (for example, by multiplying (16)

## 6. 4-4 Solving Radical Equations and Extraneous Solutions KEY …

In the previous lesson, we learned that when you solve a rational equation there sometimes were extraneous solutions – solutions that arise from the solution 6 pages(17)

Oct 21, 2020 — William from Arizona asks, “Myself and a fellow math teacher of 20+ years each got into a discussion about extraneous solutions for a particular (18)

What’s the deal with those extraneous solutions we get when solving radical equations? Why do we get two answers but sometimes have to throw out one or (19)

solution. Radical equations with square roots often have extraneous solutions because through the process of solving these equations we must square both (20)

## 7. Extraneous Solutions – GeoGebra

An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original (21)

Recognize extraneous solutions. · Solve application problems that involve radical equations as part of the solution. Introduction.(22)

5:59First, let’s ask what is an extraneous solution? An extraneous solution is a solution that emerges from the Aug 1, 2018(23)

## 8. Why do solutions that are extraneous to equations occur …

13 answers”Extraneous” solutions occur because when we analyze problems, simplify equations and perform various other processes to solve stuff we often do (24)

Jun 9, 2020 — The reason extraneous solutions exist is because some operations produce ‘​extra’ answers, and sometimes, these operations are a part of the (25)

Math theory and exercises. Concept Extraneous Solution Sometimes, solving equations using inverse operations leads to solutions that do not correctly solve (26)

## 9. Extraneous Solutions When Solving Logarithmic Equations

May 17, 2020 — Thus, squaring both sides caused a solution to be added. Definition extraneous solutions. An extraneous solution is a number for which an (27)

The best way to understand what extraneous roots are is to go through a problem where you get one. The following is a solution to a problem that I did (28)

## 10. How Do You Solve a Rational Equation With an Extraneous …

term denominators; add fractions; least common denominator; lcd; excluded value; extraneous solution; excluded value solution; undefined; zero denominator (29)

View 5.03 Extended Problems_ Extraneous Solutions-2.pdf from AA 1Name: Alexis Scott Date: October 1, 2019 Extended Problems Extraneous Solutions Solve (30)