I was given this answers to a problems I solved but I do not understand what she means hope you can help.

Before attempting to solve this quadratic equation, determine how many solutions there will be for this quadratic equation. Explain your reasoning. Finally, solve the equation.
(x - 9)2 = 81

I too, came up with the same answer and agree that this is a positive number and we should expect there to be two solutions to this problem. Carrying out the square is exactly the same as using the quadratic formula it is where you substitute a, b and c into the formula. It gives you the same answer to the polynomial used. This is because the quadratic formula came from finishing the square. Completing the square method is like the father of the quadratic formula.

(x - 9)2 = 81
(x - 9) = �ã81
x = 9�}9
x = 18 or x = 0

This answer was inreponce to another student who came up with the same as i did.

Hi Charly,

Yes, your answer is correct. Nice work. However, the method you used is not completing the square. Which one might it be, do you think?

Based on the response you were given, it seems like the method used to solve the quadratic equation was not completing the square. The person who responded to you is asking you to identify which method you used to solve the equation.

Completing the square is a method used to solve quadratic equations by manipulating them into a perfect square trinomial. This makes it easier to find the solutions.

To complete the square, follow these steps:

1. Move the constant term to the other side of the equation: (x - 9)^2 = 81
2. Take the square root of both sides to eliminate the square: x - 9 = ±√81
3. Simplify the square root: x - 9 = ±9
4. Add 9 to both sides to isolate the x variable: x = 9 ± 9

So the correct solutions to the equation are x = 18 or x = 0. These are the two solutions you were given.

Now, going back to the question you were asked by the person who responded to you, they are trying to identify which method you used to solve the equation.