Answer:
The rewritten function by completing the square is:

The solutions of the function are:

Explanation:
Given function:

To rewrite the function by completing the square, begin by adding and subtracting the square of half the coefficient of the term in x. (Place these between the term in x and the constant).

Simplify:


We have now created a perfect square trinomial from the first three terms: x² - 8x + 16.

Factor the perfect square trinomial x² - 8x + 16.

Simplify by subtracting the numbers outside the parentheses:

Therefore, the given function rewritten by completing the square is:
The solutions to a quadratic function are the x-values which satisfy the equation f(x) = 0. Therefore, to find the solutions, set the function equal to zero and solve for x.

Therefore, the solutions of the function are:
