Worksheet Completing The Square

Worksheet Completing The Square - 2 x 2 − 9 x + 7 = 0. 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 Rearrange the equation so it is =0 = 0. Web since a=1 a = 1, this can be done in 4 4 easy steps. 1) p2 + 14 p − 38 = 0 {−7 + 87 , −7 − 87} 2) v2 + 6v − 59 = 0 {−3 + 2 17 , −3 − 2 17} 3) a2 + 14 a − 51 = 0 {3, −17} 4) x2 − 12 x + 11 = 0 {11 , 1} 5) x2 + 6x + 8 = 0 {−2, −4} 6) n2 − 2n − 3 = 0 Web the corbettmaths textbook exercise on quadratics:

1) p2 + 14 p − 38 = 0 {−7 + 87 , −7 − 87} 2) v2 + 6v − 59 = 0 {−3 + 2 17 , −3 − 2 17} 3) a2 + 14 a − 51 = 0 {3, −17} 4) x2 − 12 x + 11 = 0 {11 , 1} 5) x2 + 6x + 8 = 0 {−2, −4} 6) n2 − 2n − 3 = 0 Each section contains a worked example, a question with hints and then questions for you to work through on your own. 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. Web completing the square (higher only) worksheet. Web one square metre = m2 6.

Read Each Question Carefully Before You Begin Answering It.

By completing the square, solve the following quadratic x^2+6x +3=1 x2 + 6x + 3 = 1. X2 + 5x + 11. Web this is the ‘completing the square’ form for a quadratic expression for which the coefficient of x2 is not 1. • diagrams are not accurately drawn, unless otherwise indicated.

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

Each section contains a worked example, a question with hints and then questions for you to work through on your own. Level 2 further maths ensure you have: Step 2 move the number term ( c/a) to the right side of the equation. Check your answers seem right.

Section 2 Contains 4 Applied Completing The Square Questions With A Mix Of Worded.

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. Completing the square textbook exercise. X2 + 12x + 45. This worksheet will show you how to work out different types of completing the square questions.

Solve Each Of The Following Eq.

Step 3 complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation. Rewrite the equation by completing the square. Web the textbook exercise on completing the square. Kwwsv elw o\ spw ff kwwsv elw o\ spw ff.

Web the textbook exercise on completing the square. 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. X2 + 3x + 7. Solving using completing the square. X2 + 5x + 11.