Quadratic Equations By Completing the Square

1 9 T2B0i102c zKluLtFaB lSyoRfgtbw5a2r1eI Z cAplpld cr3irglhxtHs6 o dM7ahdcey pw6iytfh9 sIXnbfZionViot9eE SAqlOgbecbXrAaH by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Solving Quadratic Equations By Completing the SquareSolve each equation by Completing the ) p2 + 14 p 38 = 02) v2 + 6 v 59 = 03) a2 + 14 a 51 = 04) x2 12 x + 11 = 05) x2 + 6 x + 8 = 06) n2 2 n 3 = 07) x2 + 14 x 15 = 08) k2 12 k + 23 = 09) r2 4 r 91 = 710) x2 10 x + 26 = 811) k2 4 k + 1 = 512) b2 + 2 b = 20-1- 7 N230q1S2Z oKguWt9aS BSKo1fWt5wUarrXet r 3 AmlklY 2roibgqh2tbsh V DMEaAd7e2 bwIiqt4hp OIHnJfviYnfirtQe7 MAYlug4eDbMrSaH by Kuta Software LLC13) v2 6 v = 9114) n2 = 18 n + 4015) 5 k2 = 60 20 k16) 6 x2 48 = 12 x17) 8 x2 + 16 x = 4218) 9 n2 + 79 = 18 n19) 2 a2 = 6 + 8 a20) 2 x2 5 x + 67 = 021) 4 n2 + 4 n + 36 = 022) 7 k2 16 k + 100 = 023) 10 p2 + 4 p + 77 = 924)

2 3 x2 = 4 + 8 x-2- 9 j2J091a21 QKsuptia9 RS3oJf2tKwUaHrde9 5 cA2lxl3 Rr2i3gXhIt1sx c sMoaGdWes Fwditt2h0 BI7ntfFiKnFiItXep RA2lyg3eGbfrgar by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Solving Quadratic Equations By Completing the SquareSolve each equation by Completing the ) p2 + 14 p 38 = 0 { 7 + 87, 7 87}2) v2 + 6 v 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 + 6 x + 8 = 0{ 2, 4}6) n2 2 n 3 = 0{3, 1}7) x2 + 14 x 15 = 0{1, 15}8) k2 12 k + 23 = 0 { 6 + 13, 6 13}9) r2 4 r 91 = 7 { 2 + 102, 2 102}10) x2 10 x + 26 = 8 { 5 + 7, 5 7}11) k2 4 k + 1 = 5 { 2 + i2, 2 i2}12) b2 + 2 b = 20 { 1 + i19, 1 i19}-1- Q D2x0o1S2P iKSuGtRa6 4S1oGf1twwuamrUei T PAMlcl4 drhisg2hatEsB v 5M1awdPeZ uwjirtbhi QIxnDftiFn4iOteeE qAwlXg1ezbor9aP by Kuta Software LLC13) v2 6 v = 91 { 3 + i82, 3 i82}14) n2 = 18 n + 40{20, 2}15) 5 k2 = 60 20 k{2, 6}16) 6 x2 48 = 12 x{2, 4}17) 8 x2 + 16 x = 42 { 32, 72}18)

3 9 n2 + 79 = 18 n { 3 + i703, 3 i703}19) 2 a2 = 6 + 8 a{3, 1}20) 2 x2 5 x + 67 = 0 { 5 + i5114, 5 i5114}21) 4 n2 + 4 n + 36 = 0 { 1 + i352, 1 i352}22) 7 k2 16 k + 100 = 0 { 8 + 2i1597, 8 2i1597}23) 10 p2 + 4 p + 77 = 9 { 1 + 13i5, 1 13i5}24) 3 x2 = 4 + 8 x {2, 23}-2-Create your own worksheets like this one with Infinite Algebra 2. Free trial available at