Check your answers seem right. X2 + 3x + 7. 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 Completing the square textbook exercise. Web what are the completing the square steps?

Exercises 3 completing the square for the following quadratic expressions a) 2x2 +4x− 8 b) 5x2 +10x+15 c) 3x2 − 27x+9 d) 2x2 +6x+1 e) 3x2 −12x+2 f) 15− 10x− x2 g) 24+12x− 2x2 h) 9+6x− 3x2 www.mathcentre.ac.uk 6 c. *this lesson guide accompanies our animated completing the square explained! Solving using completing the square. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you.

Solve each of the equations below using completing the square (a) x² + 6x + 8 = 0 (b) x² + 10x + 24 = 0 (c) x² + 14x + 40 = 0 (d) x². Help your students prepare for their maths gcse with this free completing the square worksheet of 45 questions and answers. This worksheet will show you how to work out different types of completing the square questions.

Web this supportive learning materials for gcse higher is a 'completing the square' worksheet pack. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. • diagrams are not accurately drawn, unless otherwise indicated. Exercises 3 completing the square for the following quadratic expressions a) 2x2 +4x− 8 b) 5x2 +10x+15 c) 3x2 − 27x+9 d) 2x2 +6x+1 e) 3x2 −12x+2 f) 15− 10x− x2 g) 24+12x− 2x2 h) 9+6x− 3x2 www.mathcentre.ac.uk 6 c. Solving using completing the square.

N5 maths 180 booster papers. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Web what are the completing the square steps?

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Web these questions ( with full solutions) are carefully chosen for students to take the first steps, then strengthen their skills in changing a quadratic expression into its completed square form. And best of all they all (well, most!) come with answers. Whilst worksheet pack is supportive in its structure, your pupils will, ideally, have the following prior knowledge before starting: X2 + 12x + 45.

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Level 2 further maths ensure you have: Web solving equations by completing the square date_____ period____ solve each equation by completing the square. Read each question carefully before you begin answering it. Check your answers seem right.

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Help your students prepare for their maths gcse with this free completing the square worksheet of 45 questions and answers. Completing the square textbook exercise. Solving using completing the square. Web completing the square name:

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Web the corbettmaths textbook exercise on quadratics: 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 In this great completing the square worksheet, students will practice writing expressions in ‘completing the square’ form, solving quadratics by completing the square, and drawing a. This worksheet will show you how to work out different types of completing the square questions.

Exercises 3 completing the square for the following quadratic expressions a) 2x2 +4x− 8 b) 5x2 +10x+15 c) 3x2 − 27x+9 d) 2x2 +6x+1 e) 3x2 −12x+2 f) 15− 10x− x2 g) 24+12x− 2x2 h) 9+6x− 3x2 www.mathcentre.ac.uk 6 c. The equation x2 + 4x + 9 can be written in the form (x + a)2 + b. What you should be familiar with before taking this lesson. Web the corbettmaths practice questions and answers to completing the square. Get your free completing the square worksheet of 20+ questions and answers.