options: Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
problem_activity: Task
The product of two positive numbers is 9. The reciprocal of one of
these numbers is 4 times the reciprocal of the other number. What is
the sum of the two numbers?


correct_option_index: 1