Home » Ask & Discuss » Mathematics. » Algebra « Back to Discussion

Algebra

Hot goIITian

Joined:	29 Dec 2006
Post:	191

23 Mar 2007 16:44:52 IST

0 People liked this

640

Complex Numbers startup

None

X + Y=(x+iy)^1/3 then prove that 4(X ²- Y² ) = ( x/X + y/Y )

Share this article on:

Comments (5)

varsha valli g.

Blazing goIITian

Joined: 31 Jan 2007

Posts: 515

23 Mar 2007 17:15:36 IST

Like 0 people liked this

plz check if it is X + iY?

varsha valli g.

Blazing goIITian

Joined: 31 Jan 2007

Posts: 515

23 Mar 2007 17:37:53 IST

Like 1 people liked this

if it is X + iY,then the sol is:

X +iY=(x+iy)^1/3

(X + iY) = x + iy

X^3 + i^3Y^3 + 3X^2iY + 3X^2 *i^2*Y^2 = x + iy

equate real and img part separately,

x = X^3 - 3XY^2

y = 3X^2Y - Y^3

thus in the eqn,

x/X+y/Y = (X^3 - 3XY^2)/X + (3X^2Y - Y^3)/Y

= X^2 - 3Y^2 + 3X^2 - Y^2

= 4X^2 - 4Y^2

= 4(X^2 - Y^2)

hope u understood this ,

do rate me

!!!!!!

10904him

Hot goIITian

Joined: 29 Dec 2006

Posts: 191

23 Mar 2007 18:26:58 IST

Like 0 people liked this

Dear, Varshavallig The reason I asked this question was that
I myself wanted to know if it can be solved as (X+Y) else I have already done it that way.
Yet have a rate from me...........Cheers.

varsha valli g.

Blazing goIITian

Joined: 31 Jan 2007

Posts: 515

23 Mar 2007 19:35:46 IST

Like 0 people liked this

thanx for the rate

& u can call me varsha

bye!!!!!!

Amar Gupta

Forum Expert

Joined: 31 Jan 2007

Posts: 363

24 Mar 2007 17:05:18 IST

Like 0 people liked this

good work varshavallig

Quick Reply

Reply

	Some HTML allowed.
	Keep your comments above the belt or risk having them deleted.
	Signup for a avatar to have your pictures show up by your comment
	If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team