Find integral solution to the eqation [x][y]=x+y.

Question

Find integral solution to the eqation[x][y]=x+y. show that all non-integral solution lie on exactly two lines. determine these lines.Thanks

Sher Mohammad · Accepted Answer

[x]=x- frac(x)= x-x&rsquo;[y]=y-frac(y) =y-y\[x][y]=(x- frac(x))(y-frac(y) )xy- xy&rsquo;- x&rsquo;y-x&rsquo;y&rsquo; = x+yxy- xy&rsquo;- x&rsquo;y-x&rsquo;y&rsquo; &ndash;x- y is equation of pair of line, hence proved

Differential Calculus> Find integral solution to the eqation [x]...

Find integral solution to the eqation
[x][y]=x+y. show that all non-integral solution lie on exactly two lines. determine these lines.

Thanks

vineet nimesh , 10 Years ago

Sher Mohammad

LIVE ONLINE CLASSES

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Differential Calculus> Find integral solution to the eqation [x]...

Find integral solution to the eqation[x][y]=x+y. show that all non-integral solution lie on exactly two lines. determine these lines.Thanks

vineet nimesh , 10 Years ago

Sher Mohammad

LIVE ONLINE CLASSES

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