1. Jun 12, 2010

thereddevils

1. The problem statement, all variables and given/known data

4n^2+9m^2-240n-720m+18000=0

Find n+m

2. Relevant equations

3. The attempt at a solution

I try to express the equation in the form of a(n+m)^2-b(n+m)+c=0 but i couldn't find a way to do so .

2. Jun 12, 2010

ehild

The expression can be written in the form of 4(n-a)^2+9(m-b)^2=0

ehild

3. Jun 13, 2010

Axiom17

What calculations have you done so far? If you show what attempts you've made so far then can see how it's going.

4. Jun 14, 2010

thereddevils

Thanks for replying here , i hv got it solved.

Just express it in the form Ehild suggested and the values of m and n will be b and a respectively.

5. Jun 14, 2010

Axiom17

OK great

6. Jun 25, 2011

cycy

can someone pls show me the full step working?

7. Jun 25, 2011

Mentallic

Do you know how to complete the square?

8. Jun 25, 2011

cycy

not really...
i'm just wondering how to get rid of the constant,18000,if we express it as 4(n-a)^2+9(m-b)^2=0

9. Jun 25, 2011

Redbelly98

Staff Emeritus
Sorry, but at this forum that is not how we give help.

Try expanding that expression first. Then you can compare it to the original equation.

10. Jun 25, 2011

Mentallic

I wasn't answering anything, I was asking you a question. If you know how to complete the square then this problem isn't too difficult at all.

I just wanted to know where to start helping you, but I don't think you really deserve any unless you clean up your attitude mate.

11. Jun 25, 2011

cycy

i have solved it...