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Monday, April 18, 2011

10,1 Completing the Square

Simple steps to Completing the Square
To solve ax^2+bx+c=0 (a greater than or equal to zero)
Steps
Step 1: Be sure the squared term has a 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 the correct form so that the terms with variables are on one side of the equals sigh 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.

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