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Completing the Square

Nov 15, 2012

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SPI 3103.3.2Solve quadratic equations and systems, and determine roots of a higher order polynomial.Check for Understanding 3103.3.7Solve quadratic equations by factoring, graphing, completing the square, extracting square roots and using the quadratic formula.. . Completing the square i

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Completing the Square

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Completing the Square

Completing the Square. To complete the square of a quadratic function use the following steps:. 1.) Group the variable terms together. 2.) Look at the coefficient of the x -term, find half of that value and square it.

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Completing the Square

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Completing the square

Completing the square. Another method to solve quadratics. What does a square look like?. Is this a square?. What about this one?. This one?. Why isn’t the last picture a square?. Question…. What would we need to do to make this a square?

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Completing the Square

Completing the Square. Slideshow 20 Mathematics Mr Sasaki Room 307. Objectives. Practice solving equations in the form Solve quadratic equations by completing the square where there is an even coefficient of

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Completing the Square

Completing the Square. Learning Goal. Transform the standard form of a quadratic relation into VERTEX FORM by completing the square Given a quadratic relation in VERTEX FORM, state the MAXIMUM or MINIMUM VALUE and when it occurs(the vertex) and sketch the graph. Investigation on p.124.

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Completing the Square

Completing the Square. MM3G2. Steps for completing the square. Make sure the equation is in the proper form Move the constant to the other side Identify the coefficient of the x term Half it, square it, add it to both sides Factor the equation on the left. Example 2:.

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Completing the Square

Completing the Square. Slideshow 16, Mathematics Mr Richard Sasaki, Room 307. Objectives. Recall how to solve quadratic equations through factorisation Learn how to “complete the square” to solve equations for . Solving through factorisation.

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Completing the Square

Completing the Square. Completing The Square. Make the quadratic equation on one side of the equal sign into a perfect square Add to both sides to make the last term correct Take the square root of both sides The numerical side gets a plus and minus Simplify the variable side.

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Completing The Square

Completing The Square. Completing the Square. This is an x. Show me x 2. x. x 2. Show me x 2 + 6x. Completing the Square. x. x. x. x. x. x. x 2. x 2. Let's Make a Square. Completing the Square. How many units are required to complete the square?. 9!.

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Completing the Square

Completing the Square. Used to solve a quadratic equation when factoring will not work. How to “complete the square “. x 2 + bx + ?. Divide “b” by 2. Square that result. Add to the original equation. Define the factors. Solving x 2 + bx = c. Complete the square.

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Completing the Square

Completing the Square. Lesson 7.3. The graph of y=-4.9(x-0.86) 2 +0.6 at models one bounce of a ball, where x is time in seconds and y is height in meters.

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Completing the Square

Completing the Square. Learning Targets. Learn how to complete the square This allows us to go from Standard Form to Vertex Form Solving for x in vertex form Be able to freely change the form of any quadratic equation Use knowledge of transformations to represent a function.

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Completing the Square

Completing the Square. (For help, go to Lessons 9-4 and 9-7.). Find each square. 1. ( d – 4) 2 2. ( x + 11) 2 3. ( k – 8) 2 Factor. 4. b 2 + 10 b + 25 5. t 2 + 14 t + 49 6. n 2 – 18 n + 81. Check Skills You’ll Need. 10-5. Completing the Square.

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Completing the Square

Completing the Square. Section 5.4. -. -. -. -. Ex. -. Solve by completing the square. Solve by completing the square. Day 2 Vertex form. The coordinates of the vertex of the graph

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Completing the Square

Completing the Square. What do you get when you foil the following expressions?. (x + 1) (x+1)=. (x + 6) 2 =. (x + 7) 2 =. (x + 2) (x+2) =. (x + 8) 2 =. (x + 3) (x+3) =. (x + 4) (x+4) =. (x + 9) 2 =. (x + 5) (x+5) =. (x + 10) 2 =.

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Completing the Square

Completing the Square. Grade 10 Lesson 5-5. Completing the Square. This is an x. Show me x 2. x 2. x. Show me x 2 + 6x. Completing the Square. x. x. x. x. x. x. x 2. x 2. Let's Make a Square. Completing the Square. How many units are required to complete the square?.

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Completing the Square

Completing the Square. Lesson 7.3. The graph of y=-4.9(x-0.86) 2 +0.6 at models one bounce of a ball, where x is time in seconds and y is height in meters.

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Completing the Square

Completing the Square. To review how to solve quadratic equations in vertex form To solve quadratic equations in general form by completing the square. Recall that rectangle diagrams help you factor some quadratic expressions.

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