two variable equations number of solution.

For discussing Olympiad Level Algebra (and Inequality) problems
Post Reply
Akash
Posts:8
Joined:Wed Apr 20, 2011 9:56 pm
two variable equations number of solution.

Unread post by Akash » Thu Dec 15, 2011 10:42 pm

A n'th degree equation has n solutions,thats what we know.But if there were 2 variables in the equation instead of 1 variable,what would happen?How many solutions would the equation have?I am a little uncertain, can anyone answer?
Top
Corei13
Posts:153
Joined:Tue Dec 07, 2010 9:10 pm
Location:Chittagong

Re: two variable equations number of solution.

Unread post by Corei13 » Fri Dec 16, 2011 12:13 am

Any "More Than One" variables equation have infinitely many solutions! (If you allow Complex numbers)
ধনঞ্জয় বিশ্বাস
Top
User avatar
*Mahi*
Posts:1175
Joined:Wed Dec 29, 2010 12:46 pm
Location:23.786228,90.354974
Contact:
Contact *Mahi*

Re: two variable equations number of solution.

Unread post by *Mahi* » Fri Dec 16, 2011 12:27 am

Corei13 wrote:Any "More Than One" variables equation have infinitely many solutions! (If you allow Complex numbers)
He meant the solutions are of the forms $x=\alpha y$ and so on with some complex number $\alpha$.
Please read Forum Guide and Rules before you post.

Use $L^AT_EX$, It makes our work a lot easier!

Nur Muhammad Shafiullah | Mahi
Top
Corei13
Posts:153
Joined:Tue Dec 07, 2010 9:10 pm
Location:Chittagong

Re: two variable equations number of solution.

Unread post by Corei13 » Fri Dec 16, 2011 2:23 am

Yes, they have infinitely many solutions.
ধনঞ্জয় বিশ্বাস
Top
Akash
Posts:8
Joined:Wed Apr 20, 2011 9:56 pm

Re: two variable equations number of solution.

Unread post by Akash » Fri Dec 16, 2011 12:57 pm

thank you.Got it.
Top
Post Reply

Return to “Algebra”