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4-6 COMPLETING THE SQUARE Ms. Miller

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TODAY’S OBJECTIVE To learn to solve quadratic equations by Finding square roots Completing the square

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SOLVING BY FINDING SQUARE ROOTS You can solve an equation that contains a perfect square by finding the square roots. Simplest form of this: 1. 2.

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SOLVING A PERFECT SQUARE TRINOMIAL EQUATION Sometimes, an equation will have a perfect square trinomial equal to a constant. We can solve by factoring, then find the square roots. Perfect square trinomial constant or

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COMPLETING THE SQUARE If is not part of a perfect square trinomial, you can use b to find a constant c so that is a perfect square. To make a perfect square trinomial, add What value completes the square for ? Step 1: Identify b Step 2: Calculate Step 3: Rewrite the expression

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Step 1: Rewrite in the form Divide all terms by the coefficient of if it is not 1 SOLVING AN EQUATION BY COMPLETING THE SQUARE What is the solution of ? Step 2: Complete the square & add to both sides of the equation Step 3: Rewrite the expression & factor Step 3: Find the square roots & solve for x or

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TRY THESE What are the solutions? Solve by completing the square. 1.2. or

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DETERMINING DIMENSIONS The lengths of the sides of a rectangular window have the ratio 1.6 to 1. The area of the window is 2822.4 in2. What are the window dimensions? 1.6x x The window dimensions are 42 inches x 67.2 inches

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