Solving Quadratic Equations Using the Quadratic Formula

Elementary Algebra SkillSolving Quadratic Equations Using the Quadratic FormulaSolve each equation with the Quadratic ) 3 n 2 5 n 8 = 02) x 2 + 10 x + 21 = 03) 10 x 2 9 x + 6 = 04) p 2 9 = 05) 6 x 2 12 x + 1 = 06) 6 n 2 11 = 07) 2 n 2 + 5 n 9 = 08) 3 x 2 6 x 23 = 09) 6 k 2 + 12 k 15 = 1010) 8 x 2 14 = 1111) 6 k 2 + 2 k + 9 = 312) 12 p 2 + 9 p 30 = 1013) 3 x 2 = 7 x + 13614) 3 n 2 = n + 1415) 6 v 2 + 3 = 2 v 16) 9 p 2 7 = 9 p 17) 11 k 2 + 4 k 52 = 10 k 2 718) 4 a 2 + 18 a 15 = 7 a 2 + 9 a 19) 4 n ( n 2) = 6( n + 3) 11 n 220) x ( x 3) = 7 10 x Answers to Solving Quadratic Equations Using the Quadratic Formula1) {2 23, 1}2) { 3, 7}3) No ) {3, 3}5) { 6 + 306, 6 306}6) { 666, 666}7) { 5 + 974, 5 974}8) { 3 + 783, 3 783}9) { 6 + 666, 6 666}10) { 64, 64}11) No ) { 9 + 104124, 9 104124}13) {5 23, 8}14) {2, 2 13}15) No ) { 3 + 376, 3 376}17) {5, 9}18) { 3 + 292, 3 292}19) { 1 + 1277, 1 1277}20) { 7 +}

Elementary Algebra Skill Solving Quadratic Equations Using the Quadratic Formula Solve each equation with the quadratic formula. 1) 3 n2 − 5n − 8 = 0 2) x2 + 10x + 21 = 0 3) 10x2 − 9x + 6 = 0 4) p2 − 9 = 0 5) 6x2 − 12x + 1 = 0 6) 6n2 − 11 = 0 7) 2n2 + 5n − 9 = 0 8) 3x2 − 6x − 23 = 0 9) 6k2 + 12k − 15 = −10 10) 8x2 − 14 = −11

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Transcription of Solving Quadratic Equations Using the Quadratic Formula

1 Elementary Algebra SkillSolving Quadratic Equations Using the Quadratic FormulaSolve each equation with the Quadratic ) 3 n 2 5 n 8 = 02) x 2 + 10 x + 21 = 03) 10 x 2 9 x + 6 = 04) p 2 9 = 05) 6 x 2 12 x + 1 = 06) 6 n 2 11 = 07) 2 n 2 + 5 n 9 = 08) 3 x 2 6 x 23 = 09) 6 k 2 + 12 k 15 = 1010) 8 x 2 14 = 1111) 6 k 2 + 2 k + 9 = 312) 12 p 2 + 9 p 30 = 1013) 3 x 2 = 7 x + 13614) 3 n 2 = n + 1415) 6 v 2 + 3 = 2 v 16) 9 p 2 7 = 9 p 17) 11 k 2 + 4 k 52 = 10 k 2 718) 4 a 2 + 18 a 15 = 7 a 2 + 9 a 19) 4 n ( n 2) = 6( n + 3) 11 n 220) x ( x 3) = 7 10 x Answers to Solving Quadratic Equations Using the Quadratic Formula1) {2 23, 1}2) { 3, 7}3) No ) {3, 3}5) { 6 + 306, 6 306}6) { 666, 666}7) { 5 + 974, 5 974}8) { 3 + 783, 3 783}9) { 6 + 666, 6 666}10) { 64, 64}11) No ) { 9 + 104124, 9 104124}13) {5 23, 8}14) {2, 2 13}15) No ) { 3 + 376, 3 376}17) {5, 9}18) { 3 + 292, 3 292}19) { 1 + 1277, 1 1277}20) { 7 + 212, 7 212}