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Mathematics 16 Online
OpenStudy (anonymous):

Hi guys, What is "positive integral solutions" of a given equation?

OpenStudy (anonymous):

what 's the given equation?

OpenStudy (anonymous):

it the solution to the equation where all the variables are positive.

OpenStudy (anonymous):

(1/x) + (1/y) = 1 This is the equation. I don't know what the positive integral solutions means.

OpenStudy (anonymous):

it where x and y are >= 0

OpenStudy (anonymous):

it means x>0 and y>0 and x y are integers

OpenStudy (anonymous):

to solve that multiply xy to RHS and LHS, x+y=xy --> xy-x-y=0 --> xy-x-y+1=1 --> (x-1)(y-1)=1 --> x-1=1 and y-1=1 --> x=2 and y=2

OpenStudy (anonymous):

I need to find number of pos. in. solutions and the answer is 32327

OpenStudy (anonymous):

Im so sorry, answer is 1

OpenStudy (anonymous):

Thanks Yifan12879

OpenStudy (anonymous):

you use a program to find?

OpenStudy (anonymous):

int ans; for (int x=1; x<... ;x++) { y=1/(1-1/x); if (y is integer) ans++ }

OpenStudy (anonymous):

Yes,thanx

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