Question

if u like math :) ...jst a little fun ques

Answer 1

2(x+y)=xy \[x \le y\]
\[x,y \in \mathbb{N} \]
find pairs (x,y)

Answer 2

.

Answer 3

solve for \(y\) and then note the graph is decreasing on R

Answer 4

ok this is how i did it -

2(x+y)=xy
2x+2y=xy
2x=xy-2y
2x=y(x-2)
2x/(x-2)=y\[\frac{ 4 }{ x-2 }+2=y\]

y has to be natural so x-2 must completely divide 4 and x cannot equal 2
so for x-2 to completely divide 4 x can have only 2 values 4 or 3

the corresponding values of y that u get are 4 and 6 respectively

so the solutions are (4.4) and (3,6) :)