Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
#7. Find the four roots of the equation Z² +4=0 and use them to factor 24+4 into quadratic factors with real wefficients.

#7. Find the four roots of the equation Z² +4=0 and use them to factor 24+4 into quadratic factors with real wefficients.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

please solve number 7

#. Reduce each of these quantities to a real number 1+2i si 3-4 i (1-2) (2-2) (3-2) (a) + 2-2 5 i (b) #2. If 2₁ and 2₂ are two complex numbers, show that 12₁-221² + 12₁ +2₂1² = 2 ( 121₁1² + 122 1²). #3. Assuming either /2/=1 or | w/=1 and ZW 1. Prove that Z-W = 1. 1-ZW #4. Show that equation | 2-1-2|=1 Can be written as 121²2 Re Z-2 Imz +1=0. #5. Perform the needed operations. (a) (1+√3i) 10 (b) (-1+i)7 #6. Find the square roots of (a) 2i; (b) 1-√3 i and express them in rectangular wordinates. #7. Find the four roots of the equation Z² +4=0 and use them to factor z4+4 into quadratic factors with real wefficients. #8. In each case, sketch the set of points determined by the given conditiong (a) /2-1+2/>1 (b) Re(iz) < -1.
Transcribed Image Text:#. Reduce each of these quantities to a real number 1+2i si 3-4 i (1-2) (2-2) (3-2) (a) + 2-2 5 i (b) #2. If 2₁ and 2₂ are two complex numbers, show that 12₁-221² + 12₁ +2₂1² = 2 ( 121₁1² + 122 1²). #3. Assuming either /2/=1 or | w/=1 and ZW 1. Prove that Z-W = 1. 1-ZW #4. Show that equation | 2-1-2|=1 Can be written as 121²2 Re Z-2 Imz +1=0. #5. Perform the needed operations. (a) (1+√3i) 10 (b) (-1+i)7 #6. Find the square roots of (a) 2i; (b) 1-√3 i and express them in rectangular wordinates. #7. Find the four roots of the equation Z² +4=0 and use them to factor z4+4 into quadratic factors with real wefficients. #8. In each case, sketch the set of points determined by the given conditiong (a) /2-1+2/>1 (b) Re(iz) < -1.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS