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

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?

differential calculus

Find dy/DX when y=x^sinx+sin-1√x.

Please give me the solution of this problem.

differential calculus

If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.

differential calculus

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.

differential calculus

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.

differential calculus

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

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

Other Related Questions on differential calculus

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?

differential calculus

Find dy/DX when y=x^sinx+sin-1√x. Please give me the solution of this problem.

differential calculus

If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.

differential calculus

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.

differential calculus

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin Cwhere A + B + C = T(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.

differential calculus

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

Find dy/DX when y=x^sinx+sin-1√x.

Please give me the solution of this problem.

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.