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4. What is the simplification of the following complex expression (i? = -1) 5-i 3+i %3D a) 7/5 - 4i/5 b) 8/5 + i/5 c) 7/8 - 4i/8 d) 7/4 - 2i e) 5/3 - i

4. What is the simplification of the following complex expression (i? = -1) 5-i 3+i %3D a) 7/5 - 4i/5 b) 8/5 + i/5 c) 7/8 - 4i/8 d) 7/4 - 2i e) 5/3 - i

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 28RE
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4. What is the simplification of the following complex expression (1? = -1) 5-i 3+i %3D a) 7/5 - 4i/5 b) 8/5 + i/5 c) 7/8 - 4i/8 d) 7/4 - 2i e) 5/3 - i
Transcribed Image Text:4. What is the simplification of the following complex expression (1? = -1) 5-i 3+i %3D a) 7/5 - 4i/5 b) 8/5 + i/5 c) 7/8 - 4i/8 d) 7/4 - 2i e) 5/3 - i
For reference, the patterns are: difference of squares x2 - a? = (x - a)(x + a) x - a = (x - a)(x² + ax + a?) x' + a° = (x + a)(x? - ax + a) difference of cubes sum of cubes Assume that i denotes the imaginary unit, where i? = -1., e denotes the natural constant (= 2.72) Continuous compounding model: f(t) = Pet Discrete compounding model: (t) = P(1+)nt -b±/b²-4ac 2a Quadratic formula: If 0 = ax² + bx + C, then
Transcribed Image Text:For reference, the patterns are: difference of squares x2 - a? = (x - a)(x + a) x - a = (x - a)(x² + ax + a?) x' + a° = (x + a)(x? - ax + a) difference of cubes sum of cubes Assume that i denotes the imaginary unit, where i? = -1., e denotes the natural constant (= 2.72) Continuous compounding model: f(t) = Pet Discrete compounding model: (t) = P(1+)nt -b±/b²-4ac 2a Quadratic formula: If 0 = ax² + bx + C, then
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