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Call 911 (Posted on 2018-08-03) Difficulty: 4 of 5
x^2 + 3xy + 2*911x + 2*911y +911^2 = 0.

Solve the bolded equation for an integer couple (x,y)

See The Solution Submitted by Ady TZIDON    
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computer exploration (spoilers) | Comment 1 of 2
  x     y
-607  -92416
-911   0
276033  -92416

from

For x0 = 0 To 1000000
  For x = -x0 To x0 Step 2 * x0
     y = -(x * x + 1822 * x + 829921) / (3 * x + 1822)
     yr = Int(y + 0.5)
     If Abs(y - yr) < 0.000001 Then
       Text1.Text = Text1.Text & x & "  " & Str(y) & crlf
     End If
     If x0 = 0 Then Exit For
  Next
  DoEvents
Next


  Posted by Charlie on 2018-08-03 12:01:41
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