Question

define extraneous root​

Answer 1

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.