# Which equation results from taking the square root of both sides of (x – 9)^{2} = 81?

The equation is (x – 9)^{2} = 81 and 81 is a perfect square.

## Answer: (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

Let us simplify the given equation by taking the square root on both sides.

**Explanation:**

(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

So, two equations result from taking the square root of both sides of (x – 9)^{2} = 81.

(x – 9) = 9 |
(x – 9) = -9 |

x = 9 + 9 | x = - 9 + 9 |

x = 18 | x = 0 |