Solving Completing Square PRactice

Kuta Software - Infinite Algebra 1 Name___________________________________

Solving Equations by Completing the Square Date________________ Period____

Solve each equation by completing the square.

1) a2 + 2a − 3 = 0 2) a2 − 2a − 8 = 0

3) p2 + 16 p − 22 = 0 4) k2 + 8k + 12 = 0

5) r2 + 2r − 33 = 0 6) a2 − 2a − 48 = 0
7) m2 − 12m + 26 = 0 8) x2 + 12x + 20 = 0
9) k2 − 8k − 48 = 0 10) p2 + 2 p − 63 = 0
11) m2 + 2m − 48 = −6 12) p2 − 8 p + 21 = 6

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13) m2 + 10m + 14 = −7 14) v2 − 2v = 3
15) 5v2 − 21 = 10v 16) 4v2 + 16v = 65

17) 7b2 − 14b − 56 = 0 18) 2n2 + 12n + 10 = 0
19) n2 + 13n + 22 = 7 20) 5n2 + 19n − 68 = −2

21) r2 − 9r − 38 = −9 22) 3x2 + 20x + 36 = 4

23) x2 + 7x − 45 = 7 24) n2 + 19n + 66 = 6

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Kuta Software - Infinite Algebra 1 Name___________________________________

Solving Equations by Completing the Square Date________________ Period____

Solve each equation by completing the square.

1) a2 + 2a − 3 = 0 2) a2 − 2a − 8 = 0

{1, −3} {4, −2}

3) p2 + 16 p − 22 = 0 4) k2 + 8k + 12 = 0

{1.273, −17.273} {−2, −6}

5) r2 + 2r − 33 = 0 6) a2 − 2a − 48 = 0

{4.83, −6.83} {8, −6}

7) m2 − 12m + 26 = 0 8) x2 + 12x + 20 = 0

{9.162, 2.837} {−2, −10}

9) k2 − 8k − 48 = 0 10) p2 + 2 p − 63 = 0

{12, −4} {7, −9}

11) m2 + 2m − 48 = −6 12) p2 − 8 p + 21 = 6

{5.557, −7.557} {5, 3}

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13) m2 + 10m + 14 = −7 14) v2 − 2v = 3

{−3, −7} {3, −1}

15) 5v2 − 21 = 10v 16) 4v2 + 16v = 65

{3.28, −1.28} {2.5, −6.5}

17) 7b2 − 14b − 56 = 0 18) 2n2 + 12n + 10 = 0

{4, −2} {−1, −5}

19) n2 + 13n + 22 = 7 20) 5n2 + 19n − 68 = −2

{−1.279, −11.72} {2.2, −6}

21) r2 − 9r − 38 = −9 22) 3x2 + 20x + 36 = 4

{11.517, −2.517} {−2.666, −4}

23) x2 + 7x − 45 = 7 24) n2 + 19n + 66 = 6

{4.515, −11.515} {−4, −15}

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