#Diophantikenequation 2xy + 31y - 34x = 928

24 messages · Page 1 of 1 (latest)

thick urchin
#

2xy + 31y - 34x = 928

vestal fogBOT
#
  1. Wait patiently for a helper to come along.
  2. Once someone helps you, say thank you and close the thread with:
+close
  1. Feel free to nominate the person for helper of the week in #helper-nominations
  2. Do not ping the mods, unless someone is breaking the rules.
  3. If you're happy with the help you got here, and the server overall, you can contribute financially as well:
sharp yoke
#

simon's favorite factoring trick

#

,w expand (2x+31)(y-17)

#

here's a hint

vast terraceBOT
thick urchin
#

I need to get in function of k€Z each value of x and y

sharp yoke
#

what?

thick urchin
#

The solution

#

For example x=4+2k, y=1-7k

#

Just looking flr Z solutions

sharp yoke
#

can you translate that to english

#

what is a Z solution

thick urchin
#

It is

#

Like 1,2,3...,-1-2...

sharp yoke
#

oh

thick urchin
#

Not for example 1.2 or -81.62

sharp yoke
#

there's going to be finitely many solutions, why are you writing them in terms of k?

#

I can't see how there could be a good way to do that

thick urchin
#

Cause my teacher wants it 😦

thick urchin
#

Cause i see that too hard

sharp yoke
#

you can replace 2xy - 34x + 31y with (2x+31)(y-17) + 527