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#1 Re: Help Me ! » perfect square » 2012-05-24 07:26:57

Okay here is what my brain is telling me. I can't quite figure out what you did but tell me if my thought process is wrong.

and
are the two equations, we want to know what x and y values in each equation give us perfect square answers. To do that we have to make both equal to a perfect square. Like you said earlier n^2 and m^2, but n^2 and m^2 are just constants. This means we can use any number but we cannot say that one or both of the equations are equal to a certain number per se, so we have to make them equal to an expression? Like (x)^2, but we already have an x^2 so we need to find a better expression like
correct? So now we can say

If I am on the right track then I will go back and finish looking at your solution to see if I can figure the rest out, if I am not then please correct me.

#2 Re: Help Me ! » perfect square » 2012-05-24 06:38:59

why are we using

Is that the definition of a perfect square? Could we have used

#3 Re: Help Me ! » perfect square » 2012-05-24 04:17:24

Okay I know that both equations are equal so we can probably just worry about solving for one of them.

Now:

n is just a constant? Correct? So,

???

#4 Re: Help Me ! » perfect square » 2012-05-24 01:54:37

Hmmm,

I got 4 variables and only 2 equations. No progress I'm afraid.

My image didn't post?



Did the same for the other equations. Since x in the first equation should be equal to y in second equation then:

I know it is wrong???? And I don't care if I look stupid anymore I just want to learn this stuff. Please help!

#5 Re: Help Me ! » perfect square » 2012-05-24 01:11:35

Hi,

I am a student working on my BA degree in Mathematical Sciences. Up until about a year ago I thought I was pretty good in math because I usually got an A grade in my classes. However, I am realizing that I am probably the least knowlegable and least experienced Mathematician out there. So I have joined this forum and others to get help and practice and hopefully experience.

Looking at the question above I first thought that the two equations are identical. So if we solve for the first equation then we technically solved both equations. So if our answer for the first equation was X=16 then we know that Y=16 in the second equation. Now, I don't even know how to solve for the first equation. I can't even begin, if you can give me a hint... I will show you an effort on my end but what method should I consider?

How do I set: x^2 + 3y = perfect square?

Thanks again and I truely apologize for my behavior earlier.

#6 Re: Help Me ! » perfect square » 2012-05-23 12:07:13

My apologies. I do indeed have a bad temper and will try and refrain myself from displaying it in the future.

#7 Re: Help Me ! » perfect square » 2012-05-23 09:33:05

Thats your explanation? I think I got the wrong forum later!!

#8 Re: Help Me ! » perfect square » 2012-05-23 08:35:09

How did you solve this? can you please explain? I don't want to use computer program to solve how can I solve myself. If not possible then what is the thought process when inputting into computer program?

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