# 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

(x - 9) = 9 |
(x - 9) = -9 |
---|---|

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

x = 18 | x = 0 |

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.

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