Find all positive integers x and Y such that x≤y≤2x and 1+x平方+y平方=3xy就太聪明了

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Find all positive integers x and Y such that x≤y≤2x and 1+x平方+y平方=3xy就太聪明了
Find all positive integers x and Y such that x≤y≤2x and 1+x平方+y平方=3xy
就太聪明了

Find all positive integers x and Y such that x≤y≤2x and 1+x平方+y平方=3xy就太聪明了
由于x≤y≤2x 得1≤y/x≤2 (positive integers x and Y)
由1+x²+y²=3xy得:(y/x-1)*(y/x-2)=1-1/x²≤0
所以x≤1
又x,y都是positive integers
所以x=1
y=1或者2

你这个题太聪明了

x=y=1;x=1 y=2

for x=0 to 1000000000
for y=0 to 1000000000
if 1+x*x+y*y=3*x*y and x<=y and y<=2*x then
msgbox x & " " & y
end if
next
next
msgbox "The End!"
结果2组
1 1
1 2
哈哈

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