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Extraneous solutions (video) | Equations | Khan Academy
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:eq/x2ec2f6f830c9fb89:extraneous-sol/v/extraneous-solutions
WebExtraneous 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.
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Extraneous and missing solutions - Wikipedia
https://en.wikipedia.org/wiki/Extraneous_and_missing_solutions
WebIn mathematics, an extraneous solution (or spurious solution) is one which emerges from the process of solving a problem but is not a valid solution to it. A missing solution is a valid one which is lost during the solution process.
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What Is An Extraneous Solution? (3 Key Concepts To Know)
https://jdmeducational.com/what-is-an-extraneous-solution-3-key-concepts-to-know/
WebAn extraneous solution for an equation is a value we find when solving the equation that does not satisfy the equation. For example, if we square both sides of the equation √x = -1, we get a result of x = 1, which does not satisfy the original equation, which …
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Extraneous Solutions - Varsity Tutors
https://www.varsitytutors.com/hotmath/hotmath_help/topics/extraneous-solutions
WebExtraneous 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 domain of the original equation. Example 1: Solve for x , 1 x − 2 + 1 x + 2 = 4 ( x − 2 ) ( x + 2 ) …
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Extraneous solutions of radical equations - Khan Academy
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:eq/x2ec2f6f830c9fb89:extraneous-sol/a/analyzing-extraneous-solutions-of-square-root-equations
WebFor example, x^2 = 4 has two solutions: x = ±2, while x = √4 has only one solution: x = 2, and x = -√4 also has one solution: x = -2. We define the square root as a function, so it must have only one output for each input. If we define the function y = √x as having two solutions, then it is no longer a function. 2.
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Extraneous Solutions - Precalculus | Socratic
https://socratic.org/precalculus/solving-rational-equations/extraneous-solutions
WebExample : The equations: x +2 = 9 and x = 7, have exactly the same set of solutions. Namely: {7}. Square both sides of x = 7 to get the new equation: x2 = 49. The solution set of this new equation is; { − 7,7}. The −7 is an extraneous solution introduced by …
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Intro to square-root equations & extraneous solutions - Khan Academy
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:eq/x2ec2f6f830c9fb89:sqrt-eq/v/extraneous-solutions-to-radical-equations
Web“Extraneous” means “irrelevant or unrelated to the subject being dealt with”. In math, an extraneous solution is a solution that emerges during the process of solving a problem but is not actually a valid solution. You can only find out whether or not a solution is extraneous by plugging the solution back into the original equation.
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7.6: Solve Rational Equations - Mathematics LibreTexts
https://math.libretexts.org/Courses/Fresno_City_College/MATH_201%3A_Elementary_Algebra/07%3A_Rational_Expressions_and_Equations/7.06%3A_Solve_Rational_Equations
WebJul 25, 2021 · Definition: EXTRANEOUS Solution TO A RATIONAL EQUATION. 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. We note any possible extraneous solutions, c, by writing x ≠ c x ≠ c next to the equation.
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Extraneous solutions | Equations | Algebra 2 | Khan Academy
https://www.youtube.com/watch?v=Hz3vkU3gTeI
WebJul 22, 2019 · Keep going! Check out the next lesson and practice what you’re learning:https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:eq/x2ec2f6f830c9fb89:extr...
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5.6: Solve Rational Equations - Mathematics LibreTexts
https://math.libretexts.org/Courses/Kansas_State_University/Your_Guide_to_Intermediate_Algebra/05%3A_Everything_else_you_need_to_know/5.06%3A_Solve_Rational_Equations
WebAug 24, 2022 · Definition: EXTRANEOUS Solution TO A RATIONAL EQUATION. 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. We note any possible extraneous solutions, c, by writing x ≠ c next to the equation.
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