Completing The Square Worksheet

Completing The Square Worksheet - 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 Divide the entire equation by the coefficient of x 2, apply the series of steps to complete the squares, and solve. Unfortunately, they are not always applicable. Web the quadratic equations in these printable worksheets have coefficients for the term x 2 that need to be factored out. These methods are relatively simple and efficient, when applicable. Completing the square (leading coefficient ≠ 1) 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 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 Web the quadratic equations in these printable worksheets have coefficients for the term x 2 that need to be factored out. Divide the entire equation by the coefficient of x 2, apply the series of steps to complete the squares, and solve. In this lesson, you will learn a method for solving any kind of quadratic equation. 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 (i) x2 − 2x + 1 = 0 Web so far, you've either solved quadratic equations by taking the square root or by factoring.

Web solving quadratic equations by completing the square date_____ period____ solve each equation by completing the square. The guide includes a free completing the square worksheets, examples and practice problems, and a video tutorial. 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 (leading coefficient ≠ 1)

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Completing The Square Worksheet - Divide the entire equation by the coefficient of x 2, apply the series of steps to complete the squares, and solve. Unfortunately, they are not always applicable. In this lesson, you will learn a method for solving any kind of quadratic equation. The guide includes a free completing the square worksheets, examples and practice problems, and a video tutorial. Web 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 Web solving quadratic equations by completing the square date_____ period____ solve each equation by completing the square. Completing the square (leading coefficient ≠ 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 (i) x2 − 2x + 1 = 0 Web the quadratic equations in these printable worksheets have coefficients for the term x 2 that need to be factored out.

Web so far, you've either solved quadratic equations by taking the square root or by factoring. Web solve by completing the square: Divide the entire equation by the coefficient of x 2, apply the series of steps to complete the squares, and solve. Completing the square (leading coefficient ≠ 1) Web the quadratic equations in these printable worksheets have coefficients for the term x 2 that need to be factored out.

Web solving quadratic equations by completing the square date_____ period____ solve each equation by completing the square. These methods are relatively simple and efficient, when applicable. Divide the entire equation by the coefficient of x 2, apply the series of steps to complete the squares, and solve. Web so far, you've either solved quadratic equations by taking the square root or by factoring.

Web Solve By Completing The Square:

Web solving quadratic equations by completing the square date_____ period____ solve each equation by completing the square. In this lesson, you will learn a method for solving any kind of quadratic equation. Unfortunately, they are not always applicable. Web solving equations by completing the square date_____ period____ solve each equation by completing the square.

These Methods Are Relatively Simple And Efficient, When Applicable.

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 (i) x2 − 2x + 1 = 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 Web so far, you've either solved quadratic equations by taking the square root or by factoring. Web the quadratic equations in these printable worksheets have coefficients for the term x 2 that need to be factored out.

Completing The Square (Leading Coefficient ≠ 1)

The guide includes a free completing the square worksheets, examples and practice problems, and a video tutorial. 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 Divide the entire equation by the coefficient of x 2, apply the series of steps to complete the squares, and solve.

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