4.6 Completing the Square Learning goals

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Presentation transcript:

4.6 Completing the Square Learning goals solve quadratic equations by completing the square rewrite equations by completing the square

Ex 1 Solve by finding square roots

Ex 2 (both sides are perfect squares)

If one side is not a perfect square we can make it a perfect square by Completing the Square. We force one side of the equation to become a perfect square trinomial by adding

Ex 3 Find the value of c that creates a perfect square trinomial; then write the trinomial in factored form.

Ex 4 Solve by completing the square

Ex 5 Solve by completing the square

Ex 6 Solve by completing the square

Ex 7 Solve by completing the square

Solving a Quadratic Equation by Completing the Square Divide the entire equation by the leading coefficient (a) Move the constant to the other side of the equation Create a perfect square trinomial by adding to both sides of the equation Factor the perfect square trinomial Take the square root of both sides of the equation (remember BOTH roots!) Solve for x