(fp2) simplifying equations with modulii (modulus'?) Watch

anus eater
Badges: 0
Rep:
?
#1
Report Thread starter 7 years ago
#1
|x + iy - 2i| = 2|x + iy + i|
|x+i(y-2)| = 2|x+i(y+1)|
x^2 + (i^2)(y-2)^2 = 2(x^2 + (i^2)(y+1)^2)
x^2 - (y-2)^2 = 2(x^2 - (y+1)^2)
x^2 - (y-2)^2 = 2x^2 - 2(y+1)^2

anyone know where i went wrong with my simplifying?
0
reply
ghostwalker
  • Study Helper
Badges: 16
#2
Report 7 years ago
#2
(Original post by anus eater)
|x + iy - 2i| = 2|x + iy + i|
|x+i(y-2)| = 2|x+i(y+1)|
x^2 + (i^2)(y-2)^2 = 2(x^2 + (i^2)(y+1)^2)
x^2 - (y-2)^2 = 2(x^2 - (y+1)^2)
x^2 - (y-2)^2 = 2x^2 - 2(y+1)^2

anyone know where i went wrong with my simplifying?
The square of the modulus of a+ib is a^2+b^2; you don't do anything with the "i". You're simply using pythagoras.

You also forgot to square the "2" outside the modulus sign.
reply
anus eater
Badges: 0
Rep:
?
#3
Report Thread starter 7 years ago
#3
(Original post by ghostwalker)
The square of the modulus of a+ib is a^2+b^2; you don't do anything with the "i". You're simply using pythagoras.

You also forgot to square the "2" outside the modulus sign.
ah, makes perfect sense.

and yeah i only just noticed that too lol, thanks!
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • Cranfield University
    Cranfield Forensic MSc Programme Open Day Postgraduate
    Thu, 25 Apr '19
  • University of the Arts London
    Open day: MA Footwear and MA Fashion Artefact Postgraduate
    Thu, 25 Apr '19
  • Cardiff Metropolitan University
    Undergraduate Open Day - Llandaff Campus Undergraduate
    Sat, 27 Apr '19

Have you registered to vote?

Yes! (124)
39.62%
No - but I will (17)
5.43%
No - I don't want to (20)
6.39%
No - I can't vote (<18, not in UK, etc) (152)
48.56%

Watched Threads

View All