Completing The Square Pdf Worksheet

Completing The Square Pdf Worksheet Solving Quadratic Equations By Completing the Square Date Period Solve each equation by completing the square 1 p2 14 p 38 0 7 87 7 87 2 v2 6v Create your own worksheets like this one with Infinite Algebra 2 Free trial available at KutaSoftware Title Quadratic Equations By Completing the Square

By completing the square show that a solution to the equation x2 7x 9 0 is 13 7 2 23 By completing the square show that a solution to the equation 2x2 6x 5 2 0 is 5 2 24 a Find the co ordinates of the minimum point of the graph y 2 3x2 24x 5 Add 8 to each side 10 18 and x 8 10 2 Solve the equation using square roots Check your solution s In Example 1 the expression x2 16x 64 is a perfect square trinomial because it equals x 8 2 Sometimes you need to add a term to an expression x2 bx to make it a perfect square trinomial

Completing The Square Pdf Worksheet

Completing The Square Pdf Worksheet
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Math Confidence The Best 8 Completing The Square Worksheets The
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By using completing the square explain why there are no real solutions Question 4 The curve y x 8x 1 meets the x axis at the points A and B The point C is 2 5 Find the area of triangle ABC Question 5 James has solved the equation x ax b 0 His solutions are x 3 17 and x 3 17 Find a and b Completing the Square Date Period Find the value of c that completes the square 1 x2 38 x c 361 2 x2 32 x c 256 3 x2 5 3 x c 25 36 Create your own worksheets like this one with Infinite Algebra 1 Free trial available at KutaSoftware Title Complete the Square

Completing the Square Name Instructions Use black ink or ball point pen Answer all questions Answer the questions in the spaces provided there may be more space than you need Diagrams are NOT accurately drawn unless otherwise indicated You must show all your working out Information Mc TY completingsquare2 2009 1 In this unit we consider how quadratic expressions can be written in an equivalent form using the technique known as completing the square This technique has applications in a number of areas but we will see an example of its use in solving a quadratic equation In order to master the techniques explained here

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Solve Quadratic Equations By Competing The Square Worksheets
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Solve Quadratic Equations By Competing The Square Worksheets
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Now we need to see how this can aid us in solving quadratic equations Example Solve 2 x 12 x 5 by completing the square As we saw previously we must add 36 to x 2 12 x in order to build a perfect square So we will add 36 to each side of the equation 2 This gives x 12 x 5 2 x 12 x 36 5 36 By completing the square solve the quadratic equation Step 1 Complete the square xx 11xx 99 Step 2 Solve the equation by rearranging to make the subject 3 By completing the square solve the following quadratic equations 2 6xx 3 0 2 4 xx 10 0 2 12 xx 17 0

Easy equation to factor but we will use the Complete the Square process to see how they relate Completing the square also has the advantage of putting the equation in Standard Form a x h 2 k c where h k is the vertex point These are the steps to completing the square of a function Green numbers are the changed terms Step 2 Take that number and square it Adding the 16 constant Step 3 term of and divide it by two To solve an equation by 2 completing the square requires a couple of extra steps Step 1 Move the constant term to the other side of 0 the equation by subtracting from both sides Step 2

Completing The Square Cazoom Maths Worksheets
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Completing The Square Pdf Worksheet - 6 1 Completing the Square Worksheet Standard Form y ax2 bx c Vertex Form y a x h 2 k For each quadratic that is in standard form determine the value of c that makes each expression a perfect Find the vertex of each parabola by completing the square State if the vertex is a maximum or minimum point remember the