sat suite question viewer
What is the sum of the solutions to the given equation?
Explanation
The correct answer is . Subtracting from each side of the given equation yields . Since is a common factor of each of the terms on the right-hand side of this equation, it can be rewritten as . This is equivalent to , or . Dividing both sides of this equation by yields . Since a product of two factors is equal to if and only if at least one of the factors is , either or . Subtracting from both sides of the equation yields . Adding to both sides of the equation yields . Dividing both sides of this equation by yields . Therefore, the solutions to the given equation are and . It follows that the sum of the solutions to the given equation is , which is equivalent to , or . Note that 31/3 and 10.33 are examples of ways to enter a correct answer.