This document discusses solving a quadratic equation for the variable n. It rewrites the equation in terms of n being greater than 2. It then squares both sides and uses the quadratic formula to solve for n, finding the solutions of n=2 and n=-1. However, it notes that n=-1 is an extraneous root and does not satisfy the original equation, so the final answer is just n=2.

1. Jen Markham

3. Let’s call everything that comes after the first 2, “ n”, (why can we do that??) so we can rewrite the expression as: If n=

4. To solve for n, square both sides. Factorable???

5. Using the quadratic formula…

6. This then simplifies to:

7. However, n=-1 is an extraneous root because if we check it in our original equation, n=-1 doesn’t check! The final answer is n=2. Splitting the two roots apart yields, or

8. The final answer is n=2.