Question

Which of the following is a proposed solution that is not a solution of the original equation?

an extraneous solution

conditional solution

an exponential solution

a radical solution

Answer 1

9514 1404 393

Answer:

an extraneous solution

Explanation:

A solution that shows up as a result of the process of solving an equation, but that does not work in the original equation, is called "an extraneous solution".

_____

Additional comment

Radical and rational expression equations can have extraneous solutions. For radical equations, they are typically ones that require a negative square root (or negative root of even index). For rational expression equations, they typically involve "excluded" values, values that make a denominator be zero.