University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2019
Views:

445

Pages:

2
Author:

Nevaeh Bauer

Algebra 2 Name HW Solving Quadratics Square Roots: Imaginary Solutions Date Period Solve each equation by taking square roots. 1) - 9 - 8x ^ 2 = - 209 x = plus/minus 6 7r ^ 2 + 8 = 281 ام 7r ^ 2 = 273 r ^ 2 = 39 r = plus/minus sqrt(39) 3) 25m ^ 2 - 8 = - 7 25m +=1 m * 2 = 1/2.5 rn = plus/minus sqrt(1/25), (plus/minus 1/5) 2r ^ 2 - 5 = - 35 ام 2n ^ 2 = - 30 n ^ 2 = - 15 n = plus/minus plus/minus sqrt(15) 5) 5x ^ 2 - 3 = - 8 5xa = - 5 x = - 1 x = plus/minus 1 10b ^ 2 - 10 = - 141 10b ^ 2 = - 131 b = plus/minus sqrt(131/16) 8v ^ 2 - 6 = - 101 8v ^ 2 = - 96 b= pm lfloor sqrt 131 sqrt(10) * (sqrt(16))/(sqrt(16)) * lfloor sqrt 1316 16 7) 4n ^ 2 + l = 157 4n ^ 2 = 156 h ^ 2 = 39 n = plus/minus sqrt(39) v ^ 3 = - 95/8 r = plus/minus i * (sqrt(95))/(sqrt(8)) = (i * sqrt(5 - 15 + 1))/8 = pm 2.i sqrt 196 8 = pm pm sqrt 190 4 9) 9x ^ 2 + 8 = - 35 9x ^ 2 = - 43 x ^ 2 = - 43/9 x = plus/minus (sqrt(- 41))/(sqrt(9)) - (6sqrt(43))/3 11) 8 - 6m ^ 2 = - 88 lm >:-96 m ^ 2 = 16 m = plus/minus 4 9n ^ 2 - 5 = - 99 9n ^ 2 = - 94 n ^ 2 = - 94/9 n = plus/minus sqrt(1/9) = boxed - ( sqrt 94 3 3p ^ x - 4 = - 6 3 p2-2 P ^ 2 - 2/3 P = plus/minus (sqrt(2))/(sqrt(3)) * (sqrt(3))/(sqrt(3)) P = (i * sqrt(b))/z_{i} Kuta Software - Infinite Algebra I Name Solving Quadratic Equations with Square Roots Date Period Solve each equation by taking square roots. 1) k ^ 2 = 76 K = plus/minus sqrt(76) k= plus/minus 2 sqrt i9 2) k ^ 2 = 16 x = plus/minus 4 3) x ^ 2 = 21 x = plus/minus sqrt(21) 4) a ^ 2 = 4 a = plus/minus 2 5) x ^ 2 + 8 = 28 x >= 20 x = plus/minus sqrt(2) x = plus/minus 2 * sqrt(5) 7) - 6m ^ 2 = - 414 m ^ 2 =k9 m = plus/minus sqrt(kq) * J 6) 2n ^ 2 = - 144 n ^ 2 = 1 + - 72 h = plus/minus sqrt(- 12) p = plus/minus 46 * sqrt(2) 8) (7x ^ 2)/7 = - 21/7 (x ^ 2) / - 3 x = plus/minus sqrt(3) * j 9) m ^ 2 + 7 = 88 m >= 81 m = plus/minus 9 10) - 5x ^ 2 = - 500 x ^ 2 = 100 x= plus/minus 10 | 11) - 7n ^ 2 = - 448 n ^ 2 = 64 n = plus/minus 8 12) - 2k ^ 2 = - 162 k ^ 2 = 81 k = plus/minus 9 13) x ^ 2 - 5 = 73 x ^ 2 = 78 x = plus/minus sqrt(78) 14) 16n ^ 2 = 49 n ^ 2 = 49/16 n = plus/minus sqrt((4eta)/16) n = - 1/4