Extraneous Solution; Spurious Solution ... 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...
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What is an extraneous solution and in what cases do you get one? ... They are extraneous because they are not solutions of the original problem. This answers your second question. To tell if a "solution" is extraneous you need to go back to the original problem and check to see if it is actually a solution.
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Where you might see an extraneous solution is situations where you have to square both sides to reach a solution or where you have a fraction with an algebraic expression in the denominator. There is an example of each case in the answer to a previous question.
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Extraneous and missing solutions - Wikipedia, the free encyclopedia
In mathematics, an extraneous solution represents 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 original problem. A...
en.wikipedia.org/wiki/Extraneous_and_missing_solutions
Please see the attached file for the fully formatted. ... Please show me the steps how you work the problems so I can work similar problems. Thanks! Solve each formula for the indicated variable. For h; for s; Raising each side to a power to eliminate Radicals. Solve each equation and check for extraneous solution.
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Posted: Sat Aug 02, 2003 8:43 pm ; Post subject: RE: make up radical equation with extraneous solution ... I'm just not hitting make up radical equation with extraneous solution and need help. Is there anyway I can get help without having to go to tutorials? I need to figure it out at home.
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An extraneous solution ... Notice we see the solution that is at x = 3.58113883 but we don't see the other solution.  The reason is that x = .418861169 is a solution of the quadratic equation we found in order to solve the logarithmic equation.  Sometimes, such transformations of equations give us solutions that are...
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Extraneous Solutions | World of Mathematics. Extraneous Solutions summary with 2 pages of encyclopedia entries, research information, and more. ... How an extraneous solution is created in a just few simple steps is easily demonstrated.
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For rational equations, extraneous solutions are values that cause any denominator in the original problem to be 0. Of course, when we have 0 in the denominator we have an expression that is undefined. So, we would have to ... Note that 9 does not cause any denominators to be zero. So it is not an extraneous solution.
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