11. Solve for the roots in simplest form by completing the square: x^2-18x+82=0

To solve the quadratic equation by completing the square, follow these steps:1. **Move the constant term to the other side:** 2. **Complete the square:** - Take half of the coefficient of , which is , divide it by 2 to get , and then square it to get . - Add and subtract on the left side: 3. **Rewrite the left side as a perfect square:** 4. **Solve for by taking the square root of both sides:** 5. **Isolate :** So, the roots of the equation in simplest form are: