Mathematics 9 Lessons

Deriving Quadratic Formula by Completing the square

1. Write the equation such that the terms with variables are on the left side of the equation and the constant term is on the right.
2. Divide both sides of the equatiin by a then simplify.
3. Add the square of one-half of the coefecient of x on both sides of the resulting equation. The left side of the equation becomes a perfect square trinomial.
4. Express the perfect square trinomial on the left side of the equation as a square of a binomial.
5. Solve the resulting equation by extracting square root.