**Solving by Completing the Square**

To solve an equation ax^{2} + bx + c = 0 by completing the square:

**a. **If a ≠ 1 , multiply by so that the x^{2}-coefficient is 1.

**b. **If the x^{2}-coefficient is 1, add or subtract so that the equation is in the form

x^{2} + bx = -c, or x^{2} + x = – if step (a) has been applied.

**c. **Take half of the *x*-coefficient and square it. Add the result on both

sides of the equation.

**d. **Express the side with the variables as the square of a binomial.

**e**. Use the principle of square roots and complete the solution.