Which equation results from taking the square root of both sides of (x - 9)² = 81?

Solution:

The equation is (x - 9)² = 81 and 81 is a perfect square.

(x - 9)² = 81

By taking square root on both the sides of the equation:

(x - 9) = ± 9

(x - 9) = 9 or (x - 9) = -9

Thus, two solutions x = 18 and x = 0 arise from solving the equation (x - 9)² = 81 by taking the square root on both sides.

Which equation results from taking the square root of both sides of (x - 9)² = 81?

Summary:

(x - 9) = 9 or (x - 9) = -9 are two equations that result from taking the square root of both sides of (x - 9)² = 81.