Posted by Sean on Thursday, June 16, 2011 at 2:50pm.
1/x + 1/y = 1/14
(x+y)/xy=1/14 Inverse
xy/(x+y)=14
xy=14x+14y
xy-14x=14y
x(y-14)=14y
xy=14x+14y
xy-14y=14x
y(x-14)=14x Divide with (x-14)
y=14x/(x-14)
Solutions:
x-14#0
and
y=14x/(x-14) x#0
Do not forget that, since x and y are symmetric, they are interchangeable on your list.
Example: if (13, -182) works, then (-182, 13) works as well.
Go to:
wolframalpha com
When page be open in rectangle type:
1/x + 1/y = 1/14
and click option =
When you see results couple times click option: More Solutions
bosnian, i already used wolfram alpha to get the solutions I listed. I want to derive the solution analytically.
anon, I believe you just did algebraic rearrangement.
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