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网页Watch how to identify and eliminate extraneous solutions in equations with rational expressions. Khan Academy offers free, world-class education.
Extraneous Solutions - Varsity Tutors
网页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 ) . 1 x − 2 + 1 x + 2 = 4 ( x − 2 ) ( x + 2 )
What Is An Extraneous Solution? (3 Key Concepts To Know)
网页An 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 means x = 1 is an extraneous solution.
Extraneous and missing solutions - Wikipedia
网页In 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. [1] A missing solution is a valid one which is lost during the solution process.
Extraneous Solutions - Precalculus - Socratic
网页What are some examples of extraneous solutions to equations? How do I find the extraneous solution of #sqrt(x+4)=x-2#? How do I find the extraneous solution of #y-5=4sqrt(y)#?
7.4 Solve Rational Equations - Intermediate Algebra 2e - OpenStax
网页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. Example 7.33.
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网页Learn how to solve square-root equations and identify extraneous solutions with Khan Academy's free online math lessons and videos.
Extraneous Solutions: Causes and Cures – The Math Doctors
网页2018年2月19日 · Here is an example: log(x) + log(x + 3) = 1. If we simplify (condense) the left side, we get log(x2 + 3x) = 1 and then x2 + 3x = 10, whose solution is x = 2, −5. But because of the domain of the log, the negative solution is extraneous: log(2) + log(2 + 3) = 1 is true, but log(−5) + log(−5 + 3) = 1 is not.
Extraneous Solutions | Precalculus - Lumen Learning
网页Solve a radical equation, identify extraneous solution. Solve an equation with rational exponents. Solve polynomial equations. Solve absolute value equations.
Definition--Rationals and Radicals--Extraneous Solution
网页Extraneous solutions often arise in the context of Rational and Radical Equations. They are solutions that appear during the process of solving an equation but do not satisfy the original equation. This can happen when both sides of an equation are squared or when other operations introduce additional solutions.