VIDEOWhat is the extraneous solution?
When you square a radical equation you sometimes get a solution to the squared equation that is not a solution to the original equation.
A lot of times in algebra, especially when you deal with radical functions, you will end up with what you call extraneous solutions.
Solving a Radical Equation When You Have One Extraneous Solution
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.
Incorrect values of the variable, such as those that are introduced as a result of the squaring process are called extraneous solutions. Extraneous solutions. In this case, the solution x = 1 makes the numerators equal to one another but also makes the denominators of two of the expressions zero, and so x = 1 is an.
Multiplication by a variable: If an equation has a variable in the denominator, an extraneous solution can be introduced by multiplying both sides with x. An. A solution to an equation that SEEMS to be right, but when we check it (by substituting it into the original equation) we find it is NOT right. 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. 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.
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