Final answer:
To complete the inequality, the completed inequality would be x^2 + 4x + 4 >= 0. To solve the quadratic equation, we can factor it as (x + 2)(x + 2) >= 0 or (x + 2)^2 >= 0. Since a squared term is always non-negative, the inequality is true for any value of x.
Step-by-step explanation:
To complete the inequality -x^2-4x-4...0 so that it will be true for any value of x, we can rearrange the terms to form a quadratic equation, set it equal to zero, and solve for x. The completed inequality would be x^2 + 4x + 4 >= 0.
To solve the quadratic equation, we can factor it as (x + 2)(x + 2) >= 0 or (x + 2)^2 >= 0. Since a squared term is always non-negative, the inequality is true for any value of x.