Category: Blog

**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)}…

**3.** Radical equations (Algebra 1, Radical expressions …

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)}…

## Excerpt Links

(1). Identify Extraneous Solutions to Radical Equations – Expii

(2). Extraneous Solution – Mathwords

(3). Extraneous and missing solutions – Wikipedia

(4). What is extraneous solution? + Example – Socratic

(5). Definition of Extraneous Root – Math is Fun

(6). How do you know if a solution is extraneous? | Study.com

(7). Radical equations (Algebra 1, Radical expressions …

(8). How to find an extraneous solution with solving a rational …

(9). Extraneous solutions – Math Central

(10). Extraneous Solutions: Causes and Cures – The Math Doctors

(11). Common Types of Mistakes: Extraneous Solutions

(12). Definition of extraneous solution in Algebra. – OER2Go

(13). Extraneous Solutions | Wyzant Ask An Expert

(14). An Extraneous Solution – Illustrative Mathematics

(15). Why do extraneous solutions exist? – Mathematics Stack …

(16). Extraneous solutions and lost solutions – MathOnWeb.com

(17). 4-4 Solving Radical Equations and Extraneous Solutions KEY …

(18). Extraneous Solutions – Ask Professor Puzzler – The Problem Site

(19). What’s the deal with extraneous … – Scaffolded Math and Science

(20). Radical Equations with Extraneous Solutions – DuVall …

(21). Extraneous Solutions – GeoGebra

(22). Solving Radical Equations

(23). Question Video: Extraneous Solutions with Radicals | Nagwa

(24). Why do solutions that are extraneous to equations occur …

(25). What causes an extraneous solution? – FindAnyAnswer.com

(26). Extraneous Solution – Mathleaks

(27). Extraneous Solutions When Solving Logarithmic Equations

(28). SOLUTION: What is an extraneous solutions?

(29). How Do You Solve a Rational Equation With an Extraneous …

(30). 5.03 Extended Problems_ Extraneous Solutions-2 – Name …