Solving Quadratic Equations: Completing the Square

Elementary Algebra SkillSolving Quadratic equations : Completing the SquareSolve each equation by Completing the ) x 2 + 2 x 24 = 02) p 2 + 12 p 54 = 03) x 2 8 x + 15 = 04) r 2 + 18 r + 56 = 05) m 2 6 m 55 = 06) m 2 4 m 91 = 07) m 2 + 16 m 32 = 78) r 2 8 r = 89) n 2 = 14 n 3710) n 2 2 n = 1511) x 2 + 15 x + 15 = 2 + x 12) 3 n 2 + 4 n 59 = 4 n 213) 5 n 2 20 n + 6 = 014) 3 a 2 6 a 34 = 015) 3 x 2 x 3 = 016) 2 v 2 + 5 v 7 = 017)

Elementary Algebra Skill Solving Quadratic Equations: Completing the Square Solve each equation by completing the square. 1) x2 + 2x − 24 = 0 2) p2 + 12p − 54 = 0 3) x2 − 8x + 15 = 0 4) r2 + 18r + 56 = 0 5) m2 − 6m − 55 = 0 6) m2 − 4m − 91 = 0 7) m2 + 16m − 32 = −7 8) r2 − 8r = −8 9) n2 = −14n − 37 10) n2 − 2n = 15 11) x2 + 15x + 15 = 2 + x 12) −3n2 + 4n − 59 ...

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Square, Solving, Equations, Quadratic, Completing, Completing the square, Solving quadratic equations

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Transcription of Solving Quadratic Equations: Completing the Square

1 Elementary Algebra SkillSolving Quadratic equations : Completing the SquareSolve each equation by Completing the ) x 2 + 2 x 24 = 02) p 2 + 12 p 54 = 03) x 2 8 x + 15 = 04) r 2 + 18 r + 56 = 05) m 2 6 m 55 = 06) m 2 4 m 91 = 07) m 2 + 16 m 32 = 78) r 2 8 r = 89) n 2 = 14 n 3710) n 2 2 n = 1511) x 2 + 15 x + 15 = 2 + x 12) 3 n 2 + 4 n 59 = 4 n 213) 5 n 2 20 n + 6 = 014) 3 a 2 6 a 34 = 015) 3 x 2 x 3 = 016) 2 v 2 + 5 v 7 = 017)

2 4 n 2 + 11 n = 1518) 9 a 2 21 = 13 a 19) 3 m 2 10 m + 11 = 420) 3 m 2 16 m 2 = 7 Answers to Solving Quadratic equations : Completing the Square1) {4, 6}2) { 6 + 3 10, 6 3 10}3) {5, 3}4) { 4, 14}5) {11, 5}6) { 2 + 95, 2 95}7) { 8 + 89, 8 89}8) { 4 + 2 2, 4 2 2}9) { 7 + 2 3, 7 2 3}10) {5, 3}11) { 1, 13}12) { 2 + 3 7, 2 3 7}13) { 10 + 705, 10 705}14) { 3 + 1113, 3 1113}15) { 1 + 376, 1 376}16) {1, 3 12}17) {1, 3 34}18) { 13 + 5 3718, 13 5 3718}19)

3 {2 13, 1}20) {5, 13}