Final answer:
The resulting equations are x = 18 and x = 0.
Step-by-step explanation:
To take the square root of both sides of (x-9)² = 81, you will end up with two possible equations. One is x-9 = 9 and the other is x-9 = -9. Solving the first equation gives you x = 18, while solving the second equation gives you x = 0. Therefore, the resulting equations are x = 18 and x = 0.
Learn more about Solving equations involving square roots