Question

How to determine the solution or roots of quadratic equations by completing the square?

a. By factoring
b. By using the quadratic formula
c. By completing the square
d. By graphing the equation

Answer 1

To determine the solution or roots of quadratic equations by completing the square, follow these steps.

Step-by-step explanation:

The solution or roots of a quadratic equation can be determined by completing the square. Here are the steps to follow:

1. Move the constant term, c, to the right side of the equation.
2. Divide all terms by the coefficient of x², a, to make the leading coefficient 1.
3. Take half of the coefficient of x, b, square it, and add it to both sides of the equation. This completes the square on the left side.
4. Factor the perfect square trinomial on the left side.
5. Apply the square root property to solve for x.

By following these steps, you can determine the solution or roots of a quadratic equation by completing the square.