Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
iop360
Group Title
find all complex numbers z such that z^2 = 7  24i
give your answer in the form a+bi
 one year ago
 one year ago
iop360 Group Title
find all complex numbers z such that z^2 = 7  24i give your answer in the form a+bi
 one year ago
 one year ago

This Question is Closed

iop360 Group TitleBest ResponseYou've already chosen the best response.0
dw:1353792413116:dw
 one year ago

myko Group TitleBest ResponseYou've already chosen the best response.1
(a+bi)(a+bi)=724i a^2+2abib^2=724i now identify real and imaginary parts: a^2b^2=7 2ab=24 and solve this system for a and b
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
apparently im only supposed to get values of 4 and 4 for a...i get something different
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
because first i isolate for b = 12/a then i get 7 = (a(12/a))(a+(12/a))
 one year ago

myko Group TitleBest ResponseYou've already chosen the best response.1
a=12/b substitute in 1º equation: 144/b^2b^2=7 144/b^2=7+b^2 144=7b^2+b^4 new variable: b^2=x 144=7x+x^2 or x^2+7x144=0 solve this
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
b^2 = 16 b^2 = 9 cant take b^2 = 16
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
so b = +/ 3
 one year ago

myko Group TitleBest ResponseYou've already chosen the best response.1
so: b^2=9 b=+3
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
ok, i got it now...plug +/ 3 in equation
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.