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#1 2011-11-20 21:06:46
- Maiya
- Member
- Registered: 2011-08-11
- Posts: 124
Equations
Hello everyone;
can anyone help with Diophantine equations
i know nothing about it ..............
thanks in advance:o
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#2 2011-11-20 21:48:59
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Equations
Hi Maiya;
Diophantine equations are just equations whose solutions are either integers or rational numbers.
Can you be a little more specific as to what you need?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#3 2011-11-21 20:17:51
- Maiya
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- Registered: 2011-08-11
- Posts: 124
Re: Equations
no no that's okay bobbym;
is there any method to solve biquadrtic equations
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#4 2011-11-21 20:19:15
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Equations
Hi;
Let me see the equation. Yes, all of them can be solved.
There are different definitons. Sometimes it means any quartic. This is theoretical solvable but can be very difficult. I use the definiton of a quartic without odd powers. Those are easy.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#5 2011-11-21 20:30:27
- Maiya
- Member
- Registered: 2011-08-11
- Posts: 124
Re: Equations
Hello Bobbym;
as i'm a beginner no equations........:-(
any general forms???
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#6 2011-11-21 20:31:59
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Equations
Okay we will use my definition. Can you solve an ordinary quadratic like this?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#7 2011-11-21 20:37:08
- Maiya
- Member
- Registered: 2011-08-11
- Posts: 124
Re: Equations
ya it can be reduced to (x+1)^2
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#8 2011-11-21 20:38:34
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Equations
That is very good. Know about the quadratic formula?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#9 2011-11-21 20:42:40
- Maiya
- Member
- Registered: 2011-08-11
- Posts: 124
Re: Equations
this it right???
Last edited by Maiya (2011-11-21 20:43:39)
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#10 2011-11-21 20:47:27
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Equations
Hi;
Do you mean this?
Let me help you out a little bit. There is a site that will help with latex.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#11 2011-11-21 20:55:48
- Maiya
- Member
- Registered: 2011-08-11
- Posts: 124
Re: Equations
ya thats what
i couldn't get that plus or minus properly
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#12 2011-11-21 20:59:35
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Equations
Okay, so you are familiar with all the means to solve a quadratic equation. Let's look at a biquadratic:
That is a biquadratic, notice the only even powers of x.
Follow so far?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#13 2011-11-21 21:08:00
- Maiya
- Member
- Registered: 2011-08-11
- Posts: 124
Re: Equations
ya so biquadratic equations have only even powers..
is that so???
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#14 2011-11-21 21:15:48
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Equations
Yes, that is one definition. For the purposes of our discussion we will use that definition.
In mathematics we solve problems by turning them into other type problems. Problems that we can do.
We can do quadratics like x^2 + 2x - 6 = 0, so we do the same with this:
If you said:
then we could substitute into 1).
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#15 2011-11-21 21:18:01
- Maiya
- Member
- Registered: 2011-08-11
- Posts: 124
Re: Equations
so now equation 1 is y^2+y-12=0
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#16 2011-11-21 21:20:26
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Equations
That is very good! You can now solve that quadratic.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#17 2011-11-21 21:22:50
- Maiya
- Member
- Registered: 2011-08-11
- Posts: 124
Re: Equations
so thats all about it........
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#18 2011-11-21 21:24:21
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Equations
Not yet. Did you solve that quadratic for y?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#19 2011-11-21 21:26:55
- Maiya
- Member
- Registered: 2011-08-11
- Posts: 124
Re: Equations
ya the roots are 3 & -4
Last edited by Maiya (2011-11-21 21:27:37)
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#20 2011-11-21 21:27:42
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Equations
What did you get?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#21 2011-11-21 21:30:17
- Maiya
- Member
- Registered: 2011-08-11
- Posts: 124
Re: Equations
thats what (y-3)(y+4)=0
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#22 2011-11-21 21:31:44
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Equations
Yes, very good. Okay so that means we have roots of
y = 3 and y = -4
Do you agree?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#23 2011-11-21 21:32:35
- Maiya
- Member
- Registered: 2011-08-11
- Posts: 124
Re: Equations
yup
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#24 2011-11-21 21:36:10
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Equations
We solved for y, but the original problem wants x.
Remember this:
That tells us what x is.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#25 2011-11-21 21:38:01
- Maiya
- Member
- Registered: 2011-08-11
- Posts: 124
Re: Equations
hmmm great....
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