LINEAR DIOPHANTINE EQUATION EXAMPLES || LINEAR DIOPHANTINE EQUATION SOLUTION

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Linear diophantine equation with solutions in hindi. Linear diophantine equation ax+by = c
Linear diophantine equation with two variables. Linear diophantine equation example.

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Sir diaphantine equation is ax+by=c .... Acc. To this b should be -455 in ur ques?

sakshiarya

I love you brother, , , , Many many thanks

bhuyan.

Sir ap bhut acha or bhut easy tarike se smjte h 😊😊

varshabaisla

Can you revisit formula at end? It's given opposite in my book and also referred other website as well...

Theorem 2.9: The linear Diophantine equation ax + by = c has a
solution iff d|c, where d = gcd(a, b). If (x0, y0) is any particular solution
of this equation, then all other solutions are given by
x = x0 +
b/
d
t
y = y0 −
a/
d

t
for integral values of t.

TheRamsatya

Came here after looking at the kuttaka method of solving Diophantine equation! Aryabhata identified this method of solving these kind of equations in 6th century AD!! I recommend the students to try this method and then compare it with the western method taught here! Anyway, the video was quite good!

satbalak

1 minute solution:
170x -455y = 625 => divide by 5 => 34x - 91y = 125
-91y = 125 mod 34
11y = -11 mod 34
y = -1

Substituting into original equation gives x = 1, so general solution is x = 1 + 91n, y = -1 + 34n

johnchang

sir what if there is a question like determine all integer solutions by using linear diophantine equation then what to do? and what should be the final answer?

but anyways, the best explanation for the diophantine equations and was very helpful to me as my online lecture of the same topic was missed by me..

thank you very much sir, and please give me the answer for the question described in first paragraph...

dr.vinodchaudhari

thank u so much sir...u solve my problem..:-)

manishagargofficial

nice sir bhoot acha samjh aya
...am from pakistan our formulas are reverse x waly formulas main + use keya hoa hy aor y waly main negetive ....please tell me in next lecture please sir

azharhussain

Afternoon sr ge sr
Diophantine equation 6x1+4x2+20x3=c has an integral solution iff options ar
3/c 5/c 2/c none
Sr plz tell me ans with brief solution

drshabir

Xo aur Yo ke values of aapne kese find kiya??

rashwonsingkai

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