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

2021
Views:

98

Pages:

2
Author:

Yokumaxtc

Kuta Software - Infinite Algebra 1 Name Key Solving Quadratic Equations with Square Roots Date Period Solve each equation by taking square roots. 1) sqrt(k ^ 2) = sqrt(76) √19 k = plus/minus 2 * sqrt(19) 2) sqrt(k ^ 2) = sqrt(16) L = plus/minus h 3sqrt(x ^ 2) * root(21, 3) x = plus/minus sqrt(21) 4) sqrt(a ^ 2) = sqrt(4) alpha = plus/minus 2 5) x ^ 2 + 8 = 28 sqrt(x ^ 2) = sqrt(2) * sqrt(5) x = plus/minus 2 * sqrt(5) 6) 2n ^ 2 = - 144 sqrt(n ^ 2) = sqrt(- 72) no soln 7) - 6m ^ 2 = - 414 sqrt(m ^ 2) = sqrt(69) m = plus/minus sqrt(69) 8) 7x ^ 2 = - 21 sqrt(x ^ 2) = sqrt(- 3) no soln 9) m ^ 2 + 7 = 88 sqrt(m ^ 2) = sqrt(81) m = plus/minus 9 10) - 5x ^ 2 = - 500 sqrt(x ^ 1) = sqrt(100) x = plus/minus 10 11) - 7n ^ 2 = - 448 sqrt(n ^ 2) = sqrt(64) m = plus/minus 8 12) - 2k ^ 2 = - 162 sqrt(k ^ 2) = sqrt(81) k = plus/minus ∞ 13) x ^ 2 - 5 = 73 sqrt(x) = sqrt(78) x = plus/minus sqrt(78) 14) 16n ^ 2 = 4Omega sqrt(n ^ 2) = sqrt(49/16) n = plus/minus 7/4 15) n ^ 2 - 5 = - 4 sqrt(n ^ 2) = sqrt(1) y = plus/minus 1 16) n ^ 2 + 8 = 80 sqrt(r * i ^ 2) = sqrt(72) < sqrt[ sqrt 31 sqrt 2 v_{1} = plus/minus 6 * sqrt(2) 17) 7v ^ 2 + 1 = 29 18) 10n ^ 2 + 2 = 292 7v ^ 2 = 28 2 v = plus/minus 2 10n ^ 2 = 290 sqrt(v * v ^ 2) = sqrt(29) y = plus/minus sqrt(2a) 19) 2m ^ 2 + 10 = 210 2m ^ 2 = 200 20) 9n ^ 2 + 10 = 91 sqrt(m ^ 2) = sqrt(100) m = plus/minus i * 0 9n ^ 2 = 81 n ^ 2 = sqrt(9) n = plus/minus 3 21) 5n ^ 2 - 7 = 488 5n ^ 2 = 459 22) 8n ^ 2 - 6 = 306 sqrt(x * x ^ 2) = sqrt(99) < sqrt(9) * sqrt(11) m = plus/minus 3 * sqrt(11) 8n ^ 2 = 312 sqrt(n ^ 2) = sqrt(39) m = plus/minus sqrt(39) 23) 10n ^ 2 - 10 = 470 10 n ^ 2 = 450 sqrt(m ^ 2) = sqrt(48) < 46/(sqrt(3)) n = plus/minus 4 * sqrt(2) 25) 4r ^ 2 + l = 325 L * 4r ^ 2 = 324 sqrt(r ^ 7) = sqrt(81) r = plus/minus 9 27) 2k ^ 2 - 2 = 144 2k ^ 2 = 146 sqrt(k ^ 2) = sqrt(73) 24) 8n ^ 2 - 4 = 532 8m ^ 2 = 536 sqrt(n ^ 2) = sqrt(67) n = plus/minus sqrt(61) 26) 8b ^ 2 - 7 = 193 8b ^ 2 = 200 sqrt(b ^ 2) * sqrt(25) w = plus/minus 5 28) 3 - 4x ^ 2 = - 85 - 4x ^ 2 = - 88 sqrt(x ^ 2) = sqrt(1.2)