Ask
your own question, for FREE!
Mathematics
9 Online
find the modulus of the complex number 2+i/3-i
Still Need Help?
Join the QuestionCove community and study together with friends!
first make the complex number with no i in the denominator
\[(2+i \div3-i) \times (3+i \div3+i)\]
ie. times by its conjugate
you get half+half(i)
then \[\sqrt{0.5+0.5^{2}}\]
Still Need Help?
Join the QuestionCove community and study together with friends!
sorry thats wrong \[\sqrt{0.5^{2}+0.5^{2}}\]
and thats ur mod
(2+i)/(3-i) =(2+i)(3+i)/(3+i)(3-i) =(6+5i-1)/9+1 =(5+5i)/10 =(1+i)/2 IZI=\[\sqrt{(1/2)^2+(1/2)^2}\] =\[\sqrt{.25+.25}\] =\[\sqrt{.50}\] =0.7071 \[\tan \theta=1/2/1/2\] \[\tan \theta=\Pi/4\]
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
Subshilava:
Does anyone have recommendations for writing ur college essay I cannot think of a
Countless7Echos:
Ah trying out the whole T.V girl drawing :p (I love drawing eyes)
SnowyBreaks:
You ever get the types of dreams where it feels as if you aren't breathing? And w
laylasnii13:
Poem/diary i wrote I Want Out Iu2019m so tired of screaming into walls. Every fight with my mom leaves something broken and itu2019s not just plates or slam
Countless7Echos:
Aye.. I need actually some help on the shading here.. if the light is from above too I just feel something is off.
12 hours ago
0 Replies
0 Medals
13 hours ago
14 Replies
6 Medals
2 days ago
7 Replies
0 Medals
6 days ago
13 Replies
3 Medals
1 week ago
19 Replies
3 Medals