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**Completing the Square**

** **

To solve *ax*^{2}+ *bx *+ *c *= 0 (*a *≠0) by completing the square, use these steps.

** Step 1 **Be sure the squared term has coefficient 1. If the coefficient of the squared term is some other nonzero number

*a*, divide each side of the equation by

*a*.

** Step 2 **Write the equation in correct form so that terms withvariables are on one side of the equals sign and the constant is on the other side.

** Step 3 **Square half the coefficient of the first-degree term.

** Step 4 **Add the square to each side.

** Step 5 **Factor the perfect square trinomial. One side should now be a perfect square trinomial. Factor it as the square of a binomial.

Simplify the other side.

** Step 6 **Solve the equation. Apply the square root property to complete the solution.