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Solving Equations by Completing the Square Date Period Solve each equation by completing the square 1 a2 2a 3 0 1 3 2 a2 2a 8 0 4 2 3 p2 16 p 22 0 1 273 17 273 4 k2 8k 12 0 2 6 5 r2 2r 33 0 4 83 6 83 6 a2 2a 48 0 8 6 7 m2 12 m 26 0
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Completing The Square By Phildb Teaching Resources Tes
Completing The Square By Phildb Teaching Resources Tes
Skill 1 Completing the Square a 1 Solving quadratics via completing the square can be tricky first we need to write the quadratic in the form x textcolor red d 2 textcolor blue e then we can solve it Since a 1 this can be done in 4 easy steps Example By completing the square solve the following quadratic x 2 6x 3 1
Transform any quadratic equation that cannot be factored to the one that can be factored with this simple never fail technique of completing squares Bolster practice using these printable worksheets on solving quadratic equations by completing the squares and solve the trickiest of quadratic equations effortlessly
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Question 1 Solve each of the equations below using completing the square a x2 6x 8 0 d x2 4x 45 0 g x2 14x 51 0 b x2 10x 24 0 e x2 12x 35 0 h x2 6x 16 0 c x2 14x 40 0 f x2 2x 3 0
Free printable worksheet with answer key on solving quadratic equations by completing the square
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Solving Equations by Completing the Square Date Period Solve each equation by completing the square 1 a2 2a 3 0 1 3 2 a2 2a 8 0 4 2 3 p2 16 p 22 0 1 273 17 273 4 k2 8k 12 0 2 6 5 r2 2r 33 0 4 83 6 83 6 a2 2a 48 0 8 6 7 m2 12 m 26 0
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5 By completing the square find the coordinates ofthe turning point of the curve with the equation y x2 8x 3 You must show all your working 13 otal for question 5 is 3 marks 6 By completing the square find the coordinates of the turning point of the curve with the equation y IOx 8 You must show all your working 33 5 33
Solving Equations by Completing the Square Date Period Solve each equation by completing the square 1 a2 2a 3 0 1 3 2 a2 2a 8 0 4 2 3 p2 16 p 22 0 1 273 17 273 4 k2 8k 12 0 2 6 5 r2 2r 33 0 4 83 6 83 6 a2 2a 48 0 8 6 7 m2 12 m 26 0
5 By completing the square find the coordinates ofthe turning point of the curve with the equation y x2 8x 3 You must show all your working 13 otal for question 5 is 3 marks 6 By completing the square find the coordinates of the turning point of the curve with the equation y IOx 8 You must show all your working 33 5 33
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