University:
Felician University
Course:
MATH-160 | College Algebra
Academic year:

2022
Views:

222

Pages:

2
Author:

Clint W.

Complex Numbers + Simplify. (-2+4i)+2 -2+4i+2 = 4i (4-8i)-(8i) 4-8i-8i = 4-16i (5i)-(3i) 5i-3i = 2i (i)-(5i) i-5i = -4i (4-5i)+(i) 4-5i+i = 4-4i (3i)-(4i) 3i-4i = -i (-7+5i)-(-1-i) -7+5i+1+i = -6+6i 5-(6i)-(-1+7i) 5-6i+1-7i = 6-13i (6+4i)+(1-2i) 6+4i+1-2i = 7+2i (5+i)+(4-5i) 5+i+4-5i = 9-4i 11) |p| = -1 No solution 12) √-1 = i Simplify each expression. 13) (-6x³ + 6) - (-5 - 3x³) -6x³ + 6 + 5 + 3x³ = -3x³ + 11 14) (8x⁴ + x³) - (7x³ - 5x⁴) 8x⁴ + x³ - 7x³ + 5x⁴ = 13x⁴ - 6x³ Find each product. 15) 4(x - 4) = 4x - 16 16) -(3p + 4) = -3p - 4 17) (k + 3)(2k + 1) = 2k² + k + 6k + 3 = 2k² + 7k + 3 18) (2 + 4n)² = (2 + 4n)(2 + 4n) = 4 + 8n + 8n + 16n² = 16n² + 16n + 4 Solve each equation. 19) 7r + 6 = 4 - 2r + 2r 7r + 6 = 6 7r = 0 r = 0 20) 7 + 6x = -14 - x 7x = -21 x = -3