This discussion is closed.
lgs98jonee
Badges: 2
Rep:
?
#1
Report Thread starter 17 years ago
#1
Can any1 here please give me an example of a diophantine equation and how to solve it?
0
JamesF
Badges: 1
Rep:
?
#2
Report 17 years ago
#2
A diophantine is an equation in more than 1 unknown, for which the solutions are integers.
9n + 17m = 9

For a method of solving this type of equation, look up Euclid's Algorithm.
0
theone
Badges: 0
Rep:
?
#3
Report 17 years ago
#3
They're are loads of diophantine equations, jame's example is one of the more 'simpler' examples. Another one, far less obvious how to solve, is

3^y + 2^x = z^2, where x,y,z are positive integers. (This is an old BMO question).
0
lgs98jonee
Badges: 2
Rep:
?
#4
Report Thread starter 17 years ago
#4
(Original post by theone)
They're are loads of diophantine equations, jame's example is one of the more 'simpler' examples. Another one, far less obvious how to solve, is

3^y + 2^x = z^2, where x,y,z are positive integers. (This is an old BMO question).
a bit like q5 on this year's? so no trial and error then?
0
makesomenoise
Badges: 1
Rep:
?
#5
Report 17 years ago
#5
Funny that because the mathematical riddle concerning Diophantus has only one unknown, the length of his life. Didn't know that term "Diophantine equations", nice useful snippet of knowledge there...
0
elpaw
Badges: 15
Rep:
?
#6
Report 17 years ago
#6
you can use matrix methods for solving the simpler ones
0
GH
Badges: 13
Rep:
?
#7
Report 17 years ago
#7
(Original post by elpaw)
you can use matrix methods for solving the simpler ones
Thats what one of my forend tried to do for the BMO ques and couldn't do it because it wasn't exactly the correct way. Or something similar
0
theone
Badges: 0
Rep:
?
#8
Report 17 years ago
#8
(Original post by lgs98jonee)
a bit like q5 on this year's? so no trial and error then?
No to both questions
0
X
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

How would you feel if uni students needed to be double vaccinated to start in Autumn?

I'd feel reassured about my own health (35)
15.15%
I'd feel reassured my learning may be less disrupted by isolations/lockdowns (70)
30.3%
I'd feel less anxious about being around large groups (28)
12.12%
I don't mind if others are vaccinated or not (20)
8.66%
I'm concerned it may disadvantage some students (13)
5.63%
I think it's an unfair expectation (62)
26.84%
Something else (tell us in the thread) (3)
1.3%

Watched Threads

View All
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise