Prob in Diophantine
Posted: Thu Dec 16, 2010 3:18 pm
In moon bhaiya's tutorial(found on KMC)(named Introduction to number theory_KMC_by TAM) there's a section named Diophantine's Equation. There he stated that we can find the result of x and y by this formula:
$x$ $=$ $x_o$ $+$ $\frac{bn}{d}$ and so the y goes: $y$ $=$ $y_o$ $-$ $\frac{an}{d}$
here $x_o$ and $y_o$ is the number which denotes the equations result. But there are lots of result for an equation. If I calculate with other result, for i.e.
$2x$ $+$ $3x$ $=$ $1$
here if I take ($x_o$,$y_o$)=(-1,1) then we get (x,y)=(3n-1,1-2n)
here n denotes 'purno sonkha'
but if we place 100 instead of n then the equation doesn't match.
![Sad :(](./images/smilies/icon_e_sad.gif)
$x$ $=$ $x_o$ $+$ $\frac{bn}{d}$ and so the y goes: $y$ $=$ $y_o$ $-$ $\frac{an}{d}$
here $x_o$ and $y_o$ is the number which denotes the equations result. But there are lots of result for an equation. If I calculate with other result, for i.e.
$2x$ $+$ $3x$ $=$ $1$
here if I take ($x_o$,$y_o$)=(-1,1) then we get (x,y)=(3n-1,1-2n)
here n denotes 'purno sonkha'
but if we place 100 instead of n then the equation doesn't match.
![Crying or Very Sad :cry:](./images/smilies/icon_cry.gif)
![Sad :(](./images/smilies/icon_e_sad.gif)