Answer:
Step-by-step explanation: Completing the square is a method to solve a quadratic equation like the quadratic formula, and it's usually used when an expression can't be factored.
The reason we complete the square is so that we can create a perfect square trinomial on one side of the equation. In other words, a trinomial that can be factored as two identical binomials.
To complete the square, I have created some steps:
- First make sure you have no coefficient on your squared term (if you do, divide both sides of the equation by it)
2. Make sure to move your constant or your number to the right side of the equation so you can complete the square
3. Take half the coefficient of the middle term, square it, and add it to both sides to create your perfect square trinomial.
4. Factor the left side as a binomial squared using half the coefficient of the middle term
5. Square root both sides, and finish from there