Solution of Diophantine Equation (Revisited) - Hallo friendsUPDATE NEWS AND HOT, In the article you read this time with the title Solution of Diophantine Equation (Revisited), We have prepared this article for you to read and retrieve information therein. Hopefully the contents of postings Article ECONOMY, Article GENERAL, Article LATEST, Article POLITICAL, Article TIPS, We write this you can understand. Alright, good read.

Title : Solution of Diophantine Equation (Revisited)
link : Solution of Diophantine Equation (Revisited)

Solution of Diophantine Equation (Revisited)

Solve: 3x - 4y = 29  

There are no immediate integral solutions since neither 3 or 4 divide evenly into 29. So we write, using the Euclidean algorithm:   

4 = 1*3 + 1   and 3 + 1*2 + 1   and 1 = 4- 3 so that (3, 4) = 1  

=>  3(3) - 4(2) = 1  

=> 3(11) - 4(1) = 29 

 So that x = 11, and y = 1  

Other solutions (for r = integer) can be obtained using:  

x = 11 + 4r   and y = 1 + 3r  

Check for r =2 :  x = 11 + 4(2) = 19  and y = 1 + 3(2) = 7 = 7 

 Subst. into the equation: 3x - 4y = 29 to get:   3(19) - 4(7) = 57 - 28 = 29  

Other values of r can also be tried by the reader, just ensure they're integers!

Thus Article Solution of Diophantine Equation (Revisited)

That's an article Solution of Diophantine Equation (Revisited) This time, hopefully can give benefits to all of you. well, see you in posting other articles.

You are now reading the article Solution of Diophantine Equation (Revisited) with the link address https://updated-1news.blogspot.com/2019/01/solution-of-diophantine-equation.html

Tweet

Subscribe to receive free email updates: