define extraneous root
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GIVEN :
Define Extraneous Root
TO DEFINE :
The definition of Extraneous Root
SOLUTION :
Given that to define Extraneous Root
Extraneous Root :
- It is a root, or a solution, of an intermediate equation.
- An equation is obtained in the process of solving a given equation ie., it is not a root of that given equation.
- Extraneous roots appear while solving an equation we cannot always pass to equivalent equations when we simplify it.
- Extraneous roots may arise cases in raising both sides of the given equation to a power, in clearing that equation of fractions, or in taking antilogarithms.
- An extraneous solution is a root of a transformed equation ie., not a root of the original given equation because it was excluded from the domain of the original given equation.
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