Solving Quadratic Equations by Completing the Square

What is the primary goal of completing the square in quadratic equations?

What must be added to both sides of the equation x^2 + 4x = 12 to make it a perfect square trinomial?

After completing the square for x^2 + 4x + 4 = 16, what is the next step to find the roots?

What value is used to complete the square in the equation x^2 - 8x = -15?

How do you solve x^2 - 8x + 16 = 1 after factoring?

What is the correct factorization for x^2 - 14x + 49?

What are the solutions to the equation x^2 - 18x + 81 = 2 after applying the square roots method?

How is the square root of 8 simplified in the context of completing the square?

What is the exact solution for x in the equation x^2 + 8x + 16 = 75 using the square roots method?

What is the simplified form of the square root of 75?