# What Is An Extraneous Solution

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In this article we will practice some problems that involve thinking about the conditions for obtaining extraneous solutions while solving radical equations..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 is not a valid solution to the problem..Extraneous Solution. Spurious Solution. A solution of a simplified version of an equation that does not satisfy the original equation..What is an extraneous solution and in what cases do you get one? How do you know it is extraneous? I have a teacher asking this for College Algebra. Paul..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 equation..The ones which are not are known as extraneous solutions. This can happen if you multiply an equation through by an expression that may .Sometimes a method used to solve an equation gives extraneous solutions values which arise from the solution method but that are not solutions of the original .Number solutions for radical equations. . Students will be able to explain why squaring both sides of an equation can lead to extraneous solutions. Vocabulary..Extraneous Root. more 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 .

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 is not a valid solution to the problem..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 variable in the denominator of a rational expression , with a variable in the argument of a logarithm , or a variable as the radicand in an nth root when n is an even number ..So the equation has no solution at all! x = is called an EXTRANEOUS solution, which is really not a solution at all. Example When you multiply through by the LCD and solve the resulting quadratic equation, you get solutions x= and x=..An extraneous solution is a valid solution to a mathematical problem obtained following the rules of mathematics but it isn’t acceptable in terms of See full answer below..Solve and eliminate any extraneous solutions. And what they mean by extraneous solutions are, in the course of solving this rational equation right here, we might get some solutions that if we actually put it into the original problem would give us .Sal gives an example of how an extraneous solution arises when solving x = x . If you’re seeing this message, it means we’re having trouble loading external resources on our website. If you’re behind a web filter, please make sure that the domains .A lot of times in algebra, especially when you deal with radical functions, you will end up with what you call extraneous solutions. These are solutions to an equation that you will get as a result of your algebra, but are still not correct..Extraneous Solutions 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 .ICoachMath. iCoachMath is a one stop shop for all Math queries. Our Math dictionary is both extensive and exhaustive. We have detailed definitions, easy to comprehend examples and video tutorials to help understand complex mathematical concepts..Sentimental value that is extrinsic to the house’s market value extraneous applies to what is on or comes from the outside and may or may not be capable of becoming an essential part. arguments extraneous to the issue foreign applies to what is so different as to be rejected or repelled or to be incapable of becoming assimilated..

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