What is an extraneous solution of a rational equation? (1 point)

Question

• A solution that is derived from simplifying the equation but doesn't satisfy the original equation.
• A solution that works only when the equation is in its factored form.
• A solution that satisfies the original equation, but not the simplified one.
O A solution that works for all rational equations without exceptions.

Answer 1

The correct definition of an extraneous solution of a rational equation is:

• A solution that is derived from simplifying the equation but doesn't satisfy the original equation.

Extraneous solutions often arise during the process of solving equations, particularly when multiplying both sides of an equation by a term that could be zero, thus introducing potential solutions that do not actually work in the original equation.